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88928119992 = 233193161910163
BaseRepresentation
bin101001011010010000…
…1110110110010111000
322111112112221120011210
41102310201312302320
52424111044314432
6104504130123120
76265502355645
oct1226441666270
9274475846153
1088928119992
1134794672848
1215299a204a0
138502a3895a
1444387dcdcc
1524a71ec8cc
hex14b4876cb8

88928119992 has 128 divisors (see below), whose sum is σ = 241984512000. Its totient is φ = 27130101120.

The previous prime is 88928119957. The next prime is 88928119993. The reversal of 88928119992 is 29991182988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88928119993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8745103 + ... + 8755265.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504000).

Almost surely, 288928119992 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 88928119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256000).

88928119992 is an abundant number, since it is smaller than the sum of its proper divisors (153056392008).

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

88928119992 is a wasteful number, since it uses less digits than its factorization.

88928119992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10837 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 66.

The spelling of 88928119992 in words is "eighty-eight billion, nine hundred twenty-eight million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 619 744 1178 1238 1767 1857 2356 2476 3534 3714 4712 4952 7068 7428 10163 11761 14136 14856 19189 20326 23522 30489 35283 38378 40652 47044 57567 60978 70566 76756 81304 94088 115134 121956 141132 153512 193097 230268 243912 282264 315053 364591 386194 460536 579291 630106 729182 772388 945159 1093773 1158582 1260212 1458364 1544776 1890318 2187546 2317164 2520424 2916728 3780636 4375092 4634328 5986007 6290897 7561272 8750184 11972014 12581794 17958021 18872691 23944028 25163588 35916042 37745382 47888056 50327176 71832084 75490764 119527043 143664168 150981528 195017807 239054086 358581129 390035614 478108172 585053421 717162258 780071228 956216344 1170106842 1434324516 1560142456 2340213684 2868649032 3705338333 4680427368 7410676666 11116014999 14821353332 22232029998 29642706664 44464059996 88928119992