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74466120192 = 293294735569
BaseRepresentation
bin100010101011010000…
…1101101001000000000
321010012200010212000120
41011112201231020000
52210001311321232
654113111220240
75244224402142
oct1052641551000
9233180125016
1074466120192
11296432022a2
1212522677680
1370397bb219
143865c22c92
151e0c75a92c
hex115686d200

74466120192 has 160 divisors (see below), whose sum is σ = 209595513600. Its totient is φ = 23455531008.

The previous prime is 74466120161. The next prime is 74466120203. The reversal of 74466120192 is 29102166447.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075784 + ... + 2111352.

It is an arithmetic number, because the mean of its divisors is an integer number (1309971960).

Almost surely, 274466120192 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 74466120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104797756800).

74466120192 is an abundant number, since it is smaller than the sum of its proper divisors (135129393408).

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

74466120192 is a wasteful number, since it uses less digits than its factorization.

74466120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35666 (or 35650 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 74466120192 in words is "seventy-four billion, four hundred sixty-six million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 128 141 174 188 192 232 256 282 348 376 384 464 512 564 696 752 768 928 1128 1363 1392 1504 1536 1856 2256 2726 2784 3008 3712 4089 4512 5452 5568 6016 7424 8178 9024 10904 11136 12032 14848 16356 18048 21808 22272 24064 32712 35569 36096 43616 44544 65424 71138 72192 87232 106707 130848 142276 174464 213414 261696 284552 348928 426828 523392 569104 697856 853656 1031501 1046784 1138208 1671743 1707312 2063002 2093568 2276416 3094503 3343486 3414624 4126004 4552832 5015229 6189006 6686972 6829248 8252008 9105664 10030458 12378012 13373944 13658496 16504016 18211328 20060916 24756024 26747888 27316992 33008032 40121832 48480547 49512048 53495776 54633984 66016064 80243664 96961094 99024096 106991552 132032128 145441641 160487328 193922188 198048192 213983104 264064256 290883282 320974656 387844376 396096384 427966208 528128512 581766564 641949312 775688752 792192768 855932416 1163533128 1283898624 1551377504 1584385536 2327066256 2567797248 3102755008 4654132512 6205510016 9308265024 12411020032 18616530048 24822040064 37233060096 74466120192