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97140068032 = 267241218427
BaseRepresentation
bin101101001110111111…
…1111100111011000000
3100021201212011202010111
41122131333330323000
53042420324134112
6112343040441104
710006135645300
oct1323577747300
9307655152114
1097140068032
1138219043967
12169b0019194
13921115a4c7
1449b72b9600
1527d81125a7
hex169dffcec0

97140068032 has 126 divisors (see below), whose sum is σ = 229848703116. Its totient is φ = 40613852160.

The previous prime is 97140068023. The next prime is 97140068057. The reversal of 97140068032 is 23086004179.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5262403 + ... + 5280829.

Almost surely, 297140068032 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 97140068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114924351558).

97140068032 is an abundant number, since it is smaller than the sum of its proper divisors (132708635084).

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

97140068032 is a wasteful number, since it uses less digits than its factorization.

97140068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18535 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 97140068032 in words is "ninety-seven billion, one hundred forty million, sixty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 392 448 574 656 784 1148 1312 1568 1681 2009 2296 2624 3136 3362 4018 4592 6724 8036 9184 11767 13448 16072 18368 18427 23534 26896 32144 36854 47068 53792 64288 73708 82369 94136 107584 128576 128989 147416 164738 188272 257978 294832 329476 376544 515956 589664 658952 753088 755507 902923 1031912 1179328 1317904 1511014 1805846 2063824 2635808 3022028 3611692 4127648 5271616 5288549 6044056 7223384 8255296 10577098 12088112 14446768 21154196 24176224 28893536 30975787 37019843 42308392 48352448 57787072 61951574 74039686 84616784 123903148 148079372 169233568 216830509 247806296 296158744 338467136 433661018 495612592 592317488 867322036 991225184 1184634976 1517813563 1734644072 1982450368 2369269952 3035627126 3469288144 6071254252 6938576288 12142508504 13877152576 24285017008 48570034016 97140068032