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374074261038 = 232192354178779
BaseRepresentation
bin1010111000110001001…
…00000011111000101110
31022202112212201101001200
411130120210003320232
522112101002323123
6443503005350330
736011623520142
oct5343044037056
91282485641050
10374074261038
1113470a193a55
12605b88683a6
1329376398aba
1414168cbd222
159ae5813143
hex5718903e2e

374074261038 has 96 divisors (see below), whose sum is σ = 890511148800. Its totient is φ = 112958955648.

The previous prime is 374074261009. The next prime is 374074261097. The reversal of 374074261038 is 830162470473.

It is a super-2 number, since 2×3740742610382 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 374074260984 and 374074261002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42605733 + ... + 42614511.

It is an arithmetic number, because the mean of its divisors is an integer number (9276157800).

Almost surely, 2374074261038 is an apocalyptic number.

374074261038 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 374074261038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445255574400).

374074261038 is an abundant number, since it is smaller than the sum of its proper divisors (516436887762).

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

374074261038 is a wasteful number, since it uses less digits than its factorization.

374074261038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 374074261038 in words is "three hundred seventy-four billion, seventy-four million, two hundred sixty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 5417 7866 8779 10834 16251 17558 26337 32502 48753 52674 79011 97506 102923 124591 158022 166801 201917 205846 249182 308769 333602 373773 403834 500403 605751 617538 747546 926307 1000806 1121319 1211502 1501209 1817253 1852614 2242638 2367229 3002418 3634506 3836423 4734458 7101687 7672846 11509269 14203374 21305061 23018538 34527807 42610122 47555843 69055614 95111686 142667529 285335058 428002587 856005174 903561017 1093784389 1807122034 2187568778 2710683051 3281353167 5421366102 6562706334 8132049153 9844059501 16264098306 19688119002 20781903391 41563806782 62345710173 124691420346 187037130519 374074261038