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29951269264 = 2475315233313
BaseRepresentation
bin11011111001001111…
…000001100110010000
32212022100121010101001
4123321033001212100
5442320011104024
621432011351344
72110135405510
oct337117014620
985270533331
1029951269264
111177a78a9a4
12597a752554
132a94262647
141641ba1840
15ba4700244
hex6f93c1990

29951269264 has 80 divisors (see below), whose sum is σ = 67636778112. Its totient is φ = 12581996544.

The previous prime is 29951269253. The next prime is 29951269291. The reversal of 29951269264 is 46296215992.

It is a super-2 number, since 2×299512692642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9038872 + ... + 9042184.

Almost surely, 229951269264 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 29951269264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33818389056).

29951269264 is an abundant number, since it is smaller than the sum of its proper divisors (37685508848).

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

29951269264 is a wasteful number, since it uses less digits than its factorization.

29951269264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4898 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The spelling of 29951269264 in words is "twenty-nine billion, nine hundred fifty-one million, two hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1523 2968 3046 3313 5936 6092 6626 10661 12184 13252 21322 23191 24368 26504 42644 46382 53008 80719 85288 92764 161438 170576 175589 185528 322876 351178 371056 565033 645752 702356 1130066 1229123 1291504 1404712 2260132 2458246 2809424 4520264 4916492 5045699 9040528 9832984 10091398 19665968 20182796 35319893 40365592 70639786 80731184 141279572 267422047 282559144 534844094 565118288 1069688188 1871954329 2139376376 3743908658 4278752752 7487817316 14975634632 29951269264