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829332431088 = 243710723067769
BaseRepresentation
bin11000001000110000001…
…00001010000011110000
32221021122121021121222020
430010120010022003300
5102041433100243323
61432553504111440
7113626426231560
oct14043004120360
92837577247866
10829332431088
1129a79959a387
12114891905580
1360289c48a85
142c1d5c78da0
151688d502ae3
hexc11810a0f0

829332431088 has 80 divisors (see below), whose sum is σ = 2471388606720. Its totient is φ = 234737607168.

The previous prime is 829332430951. The next prime is 829332431117. The reversal of 829332431088 is 880134233928.

It is a self number, because there is not a number n which added to its sum of digits gives 829332431088.

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, 11497933 + ... + 11569836.

It is an arithmetic number, because the mean of its divisors is an integer number (30892357584).

Almost surely, 2829332431088 is an apocalyptic number.

It is an amenable number.

829332431088 is an abundant number, since it is smaller than the sum of its proper divisors (1642056175632).

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

829332431088 is a wasteful number, since it uses less digits than its factorization.

829332431088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067894 (or 23067888 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 829332431088 in words is "eight hundred twenty-nine billion, three hundred thirty-two million, four hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 23067769 46135538 69203307 92271076 138406614 161474383 184542152 276813228 322948766 369084304 484423149 553626456 645897532 968846298 1107252912 1291795064 1937692596 2468251283 2583590128 3875385192 4936502566 7404753849 7750770384 9873005132 14809507698 17277758981 19746010264 29619015396 34555517962 39492020528 51833276943 59238030792 69111035924 103666553886 118476061584 138222071848 207333107772 276444143696 414666215544 829332431088