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151276996040 = 235191017192741
BaseRepresentation
bin1000110011100011001…
…1111100010111001000
3112110110202100122010012
42030320303330113020
54434303402333130
6153255023011052
713633533151532
oct2147063742710
9473422318105
10151276996040
1159179a14185
122539a439a88
131135acc1911
147471204852
153e05c78995
hex2338cfc5c8

151276996040 has 128 divisors (see below), whose sum is σ = 362470464000. Its totient is φ = 56658816000.

The previous prime is 151276996009. The next prime is 151276996049. The reversal of 151276996040 is 40699672151.

151276996040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 151276996040.

It is not an unprimeable number, because it can be changed into a prime (151276996049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 55189070 + ... + 55191810.

It is an arithmetic number, because the mean of its divisors is an integer number (2831800500).

Almost surely, 2151276996040 is an apocalyptic number.

151276996040 is a gapful number since it is divisible by the number (10) 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 151276996040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181235232000).

151276996040 is an abundant number, since it is smaller than the sum of its proper divisors (211193467960).

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

151276996040 is a wasteful number, since it uses less digits than its factorization.

151276996040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 151276996040 in words is "one hundred fifty-one billion, two hundred seventy-six million, nine hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 719 760 808 1010 1438 1919 2020 2741 2876 3595 3838 4040 5482 5752 7190 7676 9595 10964 13661 13705 14380 15352 19190 21928 27322 27410 28760 38380 52079 54644 54820 68305 72619 76760 104158 109288 109640 136610 145238 208316 260395 273220 276841 290476 363095 416632 520790 546440 553682 580952 726190 1041580 1107364 1379761 1384205 1452380 1970779 2083160 2214728 2759522 2768410 2904760 3941558 5259979 5519044 5536820 6898805 7883116 9853895 10519958 11038088 11073640 13797610 15766232 19707790 21039916 26299895 27595220 37444801 39415580 42079832 52599790 55190440 74889602 78831160 105199580 149779204 187224005 199048679 210399160 299558408 374448010 398097358 748896020 796194716 995243395 1497792040 1592389432 1990486790 3781924901 3980973580 7563849802 7961947160 15127699604 18909624505 30255399208 37819249010 75638498020 151276996040