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81039149680 = 24553137139511
BaseRepresentation
bin100101101111001001…
…1110100101001110000
321202011202110100101011
41023132103310221300
52311432010242210
6101121234120304
75566140256336
oct1133623645160
9252152410334
1081039149680
113140653a675
1213857a20094
1378464cb798
143ccab97b56
152194834d8a
hex12de4f4a70

81039149680 has 80 divisors (see below), whose sum is σ = 193373676864. Its totient is φ = 31571671040.

The previous prime is 81039149603. The next prime is 81039149713. The reversal of 81039149680 is 8694193018.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511125 + ... + 650635.

Almost surely, 281039149680 is an apocalyptic number.

81039149680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81039149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96686838432).

81039149680 is an abundant number, since it is smaller than the sum of its proper divisors (112334527184).

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

81039149680 is a wasteful number, since it uses less digits than its factorization.

81039149680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139714 (or 139708 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 81039149680 in words is "eighty-one billion, thirty-nine million, one hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 137 212 265 274 424 530 548 685 848 1060 1096 1370 2120 2192 2740 4240 5480 7261 10960 14522 29044 36305 58088 72610 116176 139511 145220 279022 290440 558044 580880 697555 1116088 1395110 2232176 2790220 5580440 7394083 11160880 14788166 19113007 29576332 36970415 38226014 59152664 73940830 76452028 95565035 118305328 147881660 152904056 191130070 295763320 305808112 382260140 591526640 764520280 1012989371 1529040560 2025978742 4051957484 5064946855 8103914968 10129893710 16207829936 20259787420 40519574840 81039149680