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88400925120 = 2635619148763
BaseRepresentation
bin101001001010100011…
…0110001000111000000
322110011210221021202210
41102111012301013000
52422021114100440
6104335534342120
76246441315444
oct1222506610700
9273153837683
1088400925120
1134544021502
121517135a940
13844a751621
1443c87a8824
152475cb1a80
hex14951b11c0

88400925120 has 112 divisors (see below), whose sum is σ = 281128256640. Its totient is φ = 23535338496.

The previous prime is 88400925101. The next prime is 88400925139. The reversal of 88400925120 is 2152900488.

It is an interprime number because it is at equal distance from previous prime (88400925101) and next prime (88400925139).

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, 519859 + ... + 668621.

It is an arithmetic number, because the mean of its divisors is an integer number (2510073720).

Almost surely, 288400925120 is an apocalyptic number.

88400925120 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 88400925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140564128320).

88400925120 is an abundant number, since it is smaller than the sum of its proper divisors (192727331520).

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

88400925120 is a wasteful number, since it uses less digits than its factorization.

88400925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149402 (or 149392 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 88400925120 in words is "eighty-eight billion, four hundred million, nine hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 619 960 1238 1857 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 18570 19808 24760 29712 37140 39616 49520 59424 74280 99040 118848 148560 148763 198080 297120 297526 446289 594240 595052 743815 892578 1190104 1487630 1785156 2231445 2380208 2975260 3570312 4462890 4760416 5950520 7140624 8925780 9520832 11901040 14281248 17851560 23802080 28562496 35703120 47604160 71406240 92084297 142812480 184168594 276252891 368337188 460421485 552505782 736674376 920842970 1105011564 1381264455 1473348752 1841685940 2210023128 2762528910 2946697504 3683371880 4420046256 5525057820 5893395008 7366743760 8840092512 11050115640 14733487520 17680185024 22100231280 29466975040 44200462560 88400925120