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88411530132 = 223419137104831
BaseRepresentation
bin101001001010110111…
…1001110001110010100
322110012112220002010000
41102111233032032110
52422031322431012
6104340553531300
76246630415032
oct1222557161624
9273175802100
1088411530132
113454a005182
1215174a13b30
13844c9c5693
1443c9d69552
152476ba8ddc
hex1495bce394

88411530132 has 120 divisors (see below), whose sum is σ = 245067863040. Its totient is φ = 27715374720.

The previous prime is 88411530107. The next prime is 88411530169. The reversal of 88411530132 is 23103511488.

88411530132 is a `hidden beast` number, since 8 + 84 + 11 + 530 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 790957 + ... + 895787.

It is an arithmetic number, because the mean of its divisors is an integer number (2042232192).

Almost surely, 288411530132 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 88411530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122533931520).

88411530132 is an abundant number, since it is smaller than the sum of its proper divisors (156656332908).

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

88411530132 is a wasteful number, since it uses less digits than its factorization.

88411530132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105003 (or 104992 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 88411530132 in words is "eighty-eight billion, four hundred eleven million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 137 162 171 228 274 324 342 411 513 548 684 822 1026 1233 1539 1644 2052 2466 2603 3078 3699 4932 5206 6156 7398 7809 10412 11097 14796 15618 22194 23427 31236 44388 46854 70281 93708 104831 140562 209662 210843 281124 314493 419324 421686 628986 843372 943479 1257972 1886958 1991789 2830437 3773916 3983578 5660874 5975367 7967156 8491311 11321748 11950734 14361847 16982622 17926101 23901468 28723694 33965244 35852202 43085541 53778303 57447388 71704404 86171082 107556606 129256623 161334909 172342164 215113212 258513246 272875093 322669818 387769869 517026492 545750186 645339636 775539738 818625279 1091500372 1163309607 1551079476 1637250558 2326619214 2455875837 3274501116 4653238428 4911751674 7367627511 9823503348 14735255022 22102882533 29470510044 44205765066 88411530132