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88136484128 = 25711127281651
BaseRepresentation
bin101001000010101011…
…0000000010100100000
322102111101100021220222
41102011112000110200
52421000414443003
6104253410422212
76240050516450
oct1220526002440
9272441307828
1088136484128
1134418825030
12150b8891968
138407a23b74
1443a160dd60
15245c978c38
hex1485580520

88136484128 has 96 divisors (see below), whose sum is σ = 218039205888. Its totient is φ = 34068384000.

The previous prime is 88136484097. The next prime is 88136484167. The reversal of 88136484128 is 82148463188.

It is a self number, because there is not a number n which added to its sum of digits gives 88136484128.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172103 + ... + 453753.

It is an arithmetic number, because the mean of its divisors is an integer number (2271241728).

Almost surely, 288136484128 is an apocalyptic number.

88136484128 is a gapful number since it is divisible by the number (88) 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 88136484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109019602944).

88136484128 is an abundant number, since it is smaller than the sum of its proper divisors (129902721760).

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

88136484128 is a wasteful number, since it uses less digits than its factorization.

88136484128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281806 (or 281798 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 53.

The spelling of 88136484128 in words is "eighty-eight billion, one hundred thirty-six million, four hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 127 154 176 224 254 308 352 508 616 889 1016 1232 1397 1778 2032 2464 2794 3556 4064 5588 7112 9779 11176 14224 19558 22352 28448 39116 44704 78232 156464 281651 312928 563302 1126604 1971557 2253208 3098161 3943114 4506416 6196322 7886228 9012832 12392644 15772456 21687127 24785288 31544912 35769677 43374254 49570576 63089824 71539354 86748508 99141152 143078708 173497016 250387739 286157416 346994032 393466447 500775478 572314832 693988064 786932894 1001550956 1144629664 1573865788 2003101912 2754265129 3147731576 4006203824 5508530258 6295463152 8012407648 11017060516 12590926304 22034121032 44068242064 88136484128