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29936201694432 = 25311258491096703
BaseRepresentation
bin1101100111010000100001…
…01010101111110011100000
310220222212120100221001000220
412303220100222233303200
512410433320113210212
6143400300132043040
76206550661630305
oct663502052576340
9126885510831026
1029936201694432
1195a196546a890
123435a05463480
131391c82abbc97
14756cc42870ac
1536da98d9238c
hex1b3a10aafce0

29936201694432 has 96 divisors (see below), whose sum is σ = 85729790361600. Its totient is φ = 9071217054720.

The previous prime is 29936201694389. The next prime is 29936201694517. The reversal of 29936201694432 is 23449610263992.

It is a tau number, because it is divible by the number of its divisors (96).

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, 26748193 + ... + 27844895.

It is an arithmetic number, because the mean of its divisors is an integer number (893018649600).

Almost surely, 229936201694432 is an apocalyptic number.

29936201694432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29936201694432 is an abundant number, since it is smaller than the sum of its proper divisors (55793588667168).

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

29936201694432 is a wasteful number, since it uses less digits than its factorization.

29936201694432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122576 (or 1122568 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 29936201694432 in words is "twenty-nine trillion, nine hundred thirty-six billion, two hundred one million, six hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 25849 51698 77547 103396 155094 206792 284339 310188 413584 568678 620376 827168 853017 1096703 1137356 1240752 1706034 2193406 2274712 2481504 3290109 3412068 4386812 4549424 6580218 6824136 8773624 9098848 12063733 13160436 13648272 17547248 24127466 26320872 27296544 35094496 36191199 48254932 52641744 72382398 96509864 105283488 144764796 193019728 289529592 386039456 579059184 1158118368 28348675847 56697351694 85046027541 113394703388 170092055082 226789406776 311835434317 340184110164 453578813552 623670868634 680368220328 907157627104 935506302951 1247341737268 1360736440656 1871012605902 2494683474536 2721472881312 3742025211804 4989366949072 7484050423608 9978733898144 14968100847216 29936201694432