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374253414272 = 2759307337479
BaseRepresentation
bin1010111001000110011…
…11011110011110000000
31022210000100211022002122
411130203033132132000
522112432333224042
6443532445303412
736016230350603
oct5344317363600
91283010738078
10374253414272
111347a1328481
1260648864b68
13293a453442a
14141849d633a
159b064007d2
hex57233de780

374253414272 has 128 divisors (see below), whose sum is σ = 764539776000. Its totient is φ = 182430130176.

The previous prime is 374253414203. The next prime is 374253414281. The reversal of 374253414272 is 272414352473.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781322129 + ... + 781322607.

It is an arithmetic number, because the mean of its divisors is an integer number (5972967000).

Almost surely, 2374253414272 is an apocalyptic number.

374253414272 is a gapful number since it is divisible by the number (32) 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 374253414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382269888000).

374253414272 is an abundant number, since it is smaller than the sum of its proper divisors (390286361728).

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

374253414272 is a wasteful number, since it uses less digits than its factorization.

374253414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 44.

The spelling of 374253414272 in words is "three hundred seventy-four billion, two hundred fifty-three million, four hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 307 337 472 479 614 674 944 958 1228 1348 1888 1916 2456 2696 3776 3832 4912 5392 7552 7664 9824 10784 15328 18113 19648 19883 21568 28261 30656 36226 39296 39766 43136 56522 61312 72452 79532 103459 113044 144904 147053 159064 161423 206918 226088 289808 294106 318128 322846 413836 452176 579616 588212 636256 645692 827672 904352 1159232 1176424 1272512 1291384 1655344 1808704 2318464 2352848 2545024 2582768 3310688 3617408 4705696 5165536 6104081 6621376 8676127 9411392 9523957 10331072 12208162 13242752 17352254 18822784 19047914 20662144 24416324 34704508 38095828 48832648 49556861 69409016 76191656 97665296 99113722 138818032 152383312 195330592 198227444 277636064 304766624 390661184 396454888 555272128 609533248 781322368 792909776 1110544256 1219066496 1585819552 2923854799 3171639104 5847709598 6343278208 11695419196 23390838392 46781676784 93563353568 187126707136 374253414272