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88272285696 = 212327342077
BaseRepresentation
bin101001000110101110…
…0000011000000000000
322102211211212201122200
41102031130003000000
52421240201120241
6104315101233200
76243320022420
oct1221534030000
9272754781580
1088272285696
1134488449831
1215136262800
138429bc121a
1443b5680480
1524698514b6
hex148d703000

88272285696 has 156 divisors (see below), whose sum is σ = 291403933392. Its totient is φ = 25220579328.

The previous prime is 88272285691. The next prime is 88272285737. The reversal of 88272285696 is 69658227288.

88272285696 is a `hidden beast` number, since 88 + 272 + 285 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (88272285691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87010 + ... + 429086.

It is an arithmetic number, because the mean of its divisors is an integer number (1867973932).

Almost surely, 288272285696 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 88272285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145701966696).

88272285696 is an abundant number, since it is smaller than the sum of its proper divisors (203131647696).

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

88272285696 is a wasteful number, since it uses less digits than its factorization.

88272285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342114 (or 342089 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 88272285696 in words is "eighty-eight billion, two hundred seventy-two million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 64512 86016 129024 258048 342077 684154 1026231 1368308 2052462 2394539 2736616 3078693 4104924 4789078 5473232 6157386 7183617 8209848 9578156 10946464 12314772 14367234 16419696 19156312 21550851 21892928 24629544 28734468 32839392 38312624 43101702 43785856 49259088 57468936 65678784 76625248 86203404 87571712 98518176 114937872 131357568 153250496 172406808 175143424 197036352 229875744 262715136 306500992 344813616 350286848 394072704 459751488 525430272 613001984 689627232 700573696 788145408 919502976 1050860544 1226003968 1379254464 1401147392 1576290816 1839005952 2101721088 2452007936 2758508928 3152581632 3678011904 4203442176 4904015872 5517017856 6305163264 7356023808 9808031744 11034035712 12610326528 14712047616 22068071424 29424095232 44136142848 88272285696