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2155684944 = 243731434813
BaseRepresentation
bin1000000001111101…
…0010010001010000
312120020022010211010
42000133102101100
513403323404234
6553523450520
7104264006520
oct20037222120
95506263733
102155684944
11a06912006
12501b26a40
132847b6a2a
14166423680
15c93b66e9
hex807d2450

2155684944 has 160 divisors (see below), whose sum is σ = 6723887104. Its totient is φ = 582059520.

The previous prime is 2155684897. The next prime is 2155684961. The reversal of 2155684944 is 4494865512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2155684893 and 2155684902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445482 + ... + 450294.

Almost surely, 22155684944 is an apocalyptic number.

2155684944 is a gapful number since it is divisible by the number (24) 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 2155684944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361943552).

2155684944 is an abundant number, since it is smaller than the sum of its proper divisors (4568202160).

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

2155684944 is a wasteful number, since it uses less digits than its factorization.

2155684944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4899 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 2155684944 is about 46429.3543353771. The cubic root of 2155684944 is about 1291.7994525568.

The spelling of 2155684944 in words is "two billion, one hundred fifty-five million, six hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 43 48 56 62 84 86 93 112 124 129 168 172 186 217 248 258 301 336 344 372 434 496 516 602 651 688 744 868 903 1032 1204 1302 1333 1488 1736 1806 2064 2408 2604 2666 3472 3612 3999 4813 4816 5208 5332 7224 7998 9331 9626 10416 10664 14439 14448 15996 18662 19252 21328 27993 28878 31992 33691 37324 38504 55986 57756 63984 67382 74648 77008 101073 111972 115512 134764 149203 149296 202146 206959 223944 231024 269528 298406 404292 413918 447609 447888 539056 596812 620877 808584 827836 895218 1044421 1193624 1241754 1448713 1617168 1655672 1790436 2088842 2387248 2483508 2897426 3133263 3311344 3580872 4177684 4346139 4967016 5794852 6266526 6415729 7161744 8355368 8692278 9934032 11589704 12533052 12831458 16710736 17384556 19247187 23179408 25066104 25662916 34769112 38494374 44910103 50132208 51325832 69538224 76988748 89820206 102651664 134730309 153977496 179640412 269460618 307954992 359280824 538921236 718561648 1077842472 2155684944