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1551680923716 = 22327112293244121
BaseRepresentation
bin10110100101000111011…
…000111110100001000100
312111100011022102002012100
4112211013120332201010
5200410320304024331
63144455443152100
7220051046142360
oct26450730764104
95440138362170
101551680923716
1154907847a2a0
12210886975630
13b34274b3a41
145515d3182a0
152a5695c5ae6
hex1694763e844

1551680923716 has 144 divisors (see below), whose sum is σ = 4892298622848. Its totient is φ = 402856588800.

The previous prime is 1551680923699. The next prime is 1551680923717. The reversal of 1551680923716 is 6173290861551.

1551680923716 is a `hidden beast` number, since 1 + 5 + 516 + 8 + 0 + 92 + 37 + 1 + 6 = 666.

It is a super-2 number, since 2×15516809237162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1551680923717) 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 47 ways as a sum of consecutive naturals, for example, 6234136 + ... + 6478256.

It is an arithmetic number, because the mean of its divisors is an integer number (33974295992).

Almost surely, 21551680923716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551680923716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446149311424).

1551680923716 is an abundant number, since it is smaller than the sum of its proper divisors (3340617699132).

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

1551680923716 is a wasteful number, since it uses less digits than its factorization.

1551680923716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246442 (or 246437 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1551680923716 in words is "one trillion, five hundred fifty-one billion, six hundred eighty million, nine hundred twenty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2293 2772 4586 6879 9172 13758 16051 20637 25223 27516 32102 41274 48153 50446 64204 75669 82548 96306 100892 144459 151338 176561 192612 227007 244121 288918 302676 353122 454014 488242 529683 577836 706244 732363 908028 976484 1059366 1464726 1589049 1708847 2118732 2197089 2685331 2929452 3178098 3417694 4394178 5126541 5370662 6356196 6835388 8055993 8788356 10253082 10741324 15379623 16111986 18797317 20506164 24167979 30759246 32223972 37594634 48335958 56391951 61518492 75189268 96671916 112783902 169175853 225567804 338351706 559769453 676703412 1119538906 1679308359 2239077812 3358616718 3918386171 5037925077 6157463983 6717233436 7836772342 10075850154 11755158513 12314927966 15673544684 18472391949 20151700308 23510317026 24629855932 35265475539 36944783898 43102247881 47020634052 55417175847 70530951078 73889567796 86204495762 110834351694 129306743643 141061902156 172408991524 221668703388 258613487286 387920230929 517226974572 775840461858 1551680923716