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88229697696 = 25327426110271
BaseRepresentation
bin101001000101011100…
…1100101100010100000
322102201212202000220100
41102022321211202200
52421143300311241
6104310540342400
76242262025230
oct1221271454240
9272655660810
1088229697696
1134466400838
1215123b44a00
13842112c71a
1443adb55cc0
152465c3c9b6
hex148ae658a0

88229697696 has 144 divisors (see below), whose sum is σ = 286841737728. Its totient is φ = 25200115200.

The previous prime is 88229697691. The next prime is 88229697697. The reversal of 88229697696 is 69679692288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88229697691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8585041 + ... + 8595311.

It is an arithmetic number, because the mean of its divisors is an integer number (1991956512).

Almost surely, 288229697696 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 88229697696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143420868864).

88229697696 is an abundant number, since it is smaller than the sum of its proper divisors (198612040032).

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

88229697696 is a wasteful number, since it uses less digits than its factorization.

88229697696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555 (or 14544 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 88229697696 in words is "eighty-eight billion, two hundred twenty-nine million, six hundred ninety-seven 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 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4261 8522 10271 12783 17044 20542 25566 29827 30813 34088 38349 41084 51132 59654 61626 68176 71897 76698 82168 89481 92439 102264 119308 123252 136352 143794 153396 164336 178962 184878 204528 215691 238616 246504 268443 287588 306792 328672 357924 369756 409056 431382 477232 493008 536886 575176 613584 647073 715848 739512 862764 954464 986016 1073772 1150352 1227168 1294146 1431696 1479024 1725528 2147544 2300704 2588292 2863392 2958048 3451056 4295088 5176584 6902112 8590176 10353168 20706336 43764731 87529462 131294193 175058924 262588386 306353117 350117848 393882579 525176772 612706234 700235696 787765158 919059351 1050353544 1225412468 1400471392 1575530316 1838118702 2100707088 2450824936 2757178053 3151060632 3676237404 4201414176 4901649872 5514356106 6302121264 7352474808 9803299744 11028712212 12604242528 14704949616 22057424424 29409899232 44114848848 88229697696