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151770371775764 = 227229103329278831
BaseRepresentation
bin100010100000100011001011…
…000110001101110100010100
3201220101002212011022012222212
4202200203023012031310110
5124343101210133311024
61254442202443212552
743653022203436100
oct4240431306156424
9656332764265885
10151770371775764
11443a44a9249515
1215032146517158
13668bb66757991
142969a21cb8900
151282d67ce9a0e
hex8a08cb18dd14

151770371775764 has 144 divisors (see below), whose sum is σ = 320069890990080. Its totient is φ = 62712200517120.

The previous prime is 151770371775713. The next prime is 151770371775839. The reversal of 151770371775764 is 467577173077151.

It is a junction number, because it is equal to n+sod(n) for n = 151770371775694 and 151770371775703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17186086829 + ... + 17186095659.

It is an arithmetic number, because the mean of its divisors is an integer number (2222707576320).

Almost surely, 2151770371775764 is an apocalyptic number.

151770371775764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151770371775764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160034945495040).

151770371775764 is an abundant number, since it is smaller than the sum of its proper divisors (168299519214316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151770371775764 is a wasteful number, since it uses less digits than its factorization.

151770371775764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 211768200, while the sum is 68.

The spelling of 151770371775764 in words is "one hundred fifty-one trillion, seven hundred seventy billion, three hundred seventy-one million, seven hundred seventy-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1033 1421 2066 2842 2927 4132 5684 5854 7231 8831 11708 14462 17662 20489 28924 29957 35324 40978 50617 59914 61817 81956 84883 101234 119828 123634 143423 169766 202468 209699 247268 256099 286846 339532 419398 432719 512198 573692 594181 838796 865438 1024396 1188362 1467893 1730876 1792693 2376724 2935786 3023591 3585386 4159267 5871572 6047182 7170772 8318534 9122423 12094364 12548851 16637068 18244846 21165137 25097702 25848337 36489692 42330274 50195404 51696674 63856961 84660548 87684139 103393348 127713922 148155959 175368278 180938359 255427844 264550267 296311918 350736556 361876718 446998727 529100534 592623836 613788973 723753436 749601773 893997454 1058201068 1227577946 1266568513 1499203546 1787994908 1851851869 2455155892 2533137026 2998407092 3703703738 4296522811 5066274052 5247212411 7407407476 8593045622 10494424822 12962963083 17186091244 20988849644 25925926166 26701332121 36730486877 51851852332 53402664242 73460973754 106805328484 146921947508 186909324847 373818649694 747637299388 774338631509 1308365273929 1548677263018 2616730547858 3097354526036 5233461095716 5420370420563 10840740841126 21681481682252 37942592943941 75885185887882 151770371775764