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374253113016 = 233319173527123
BaseRepresentation
bin1010111001000110011…
…10010100111010111000
31022210000100020222212000
411130203032110322320
522112432244104031
6443532435021000
736016224654366
oct5344316247270
91283010228760
10374253113016
111347a1142102
126064873a760
13293a445a283
1414184958636
159b063913e6
hex5723394eb8

374253113016 has 128 divisors (see below), whose sum is σ = 1100634912000. Its totient is φ = 117501819264.

The previous prime is 374253112993. The next prime is 374253113081. The reversal of 374253113016 is 610311352473.

374253113016 is a `hidden beast` number, since 37 + 4 + 2 + 5 + 311 + 301 + 6 = 666.

374253113016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446431 + ... + 973553.

It is an arithmetic number, because the mean of its divisors is an integer number (8598710250).

Almost surely, 2374253113016 is an apocalyptic number.

374253113016 is a gapful number since it is divisible by the number (36) 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 374253113016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550317456000).

374253113016 is an abundant number, since it is smaller than the sum of its proper divisors (726381798984).

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

374253113016 is a wasteful number, since it uses less digits than its factorization.

374253113016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527330 (or 527320 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 374253113016 its reverse (610311352473), we get a palindrome (984564465489).

The spelling of 374253113016 in words is "three hundred seventy-four billion, two hundred fifty-three million, one hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 173 216 228 342 346 456 513 519 684 692 1026 1038 1368 1384 1557 2052 2076 3114 3287 4104 4152 4671 6228 6574 9342 9861 12456 13148 18684 19722 26296 29583 37368 39444 59166 78888 88749 118332 177498 236664 354996 527123 709992 1054246 1581369 2108492 3162738 4216984 4744107 6325476 9488214 10015337 12650952 14232321 18976428 20030674 28464642 30046011 37952856 40061348 56929284 60092022 80122696 90138033 91192279 113858568 120184044 180276066 182384558 240368088 270414099 273576837 360552132 364769116 540828198 547153674 721104264 729538232 820730511 1081656396 1094307348 1641461022 1732653301 2163312792 2188614696 2462191533 3282922044 3465306602 4924383066 5197959903 6565844088 6930613204 9848766132 10395919806 13861226408 15593879709 19697532264 20791839612 31187759418 41583679224 46781639127 62375518836 93563278254 124751037672 187126556508 374253113016