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88451628132 = 22372535774919
BaseRepresentation
bin101001001100000100…
…0001011110001100100
322110022100100021020010
41102120020023301210
52422122104100012
6104344545210220
76250625301600
oct1223010136144
9273270307203
1088451628132
113456a70241a
1215186330970
1384580c49ca
1443d1406500
15247a479c3c
hex149820bc64

88451628132 has 144 divisors (see below), whose sum is σ = 245086611840. Its totient is φ = 24747061248.

The previous prime is 88451628127. The next prime is 88451628163. The reversal of 88451628132 is 23182615488.

It is a super-2 number, since 2×884516281322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17979169 + ... + 17984087.

It is an arithmetic number, because the mean of its divisors is an integer number (1701990360).

Almost surely, 288451628132 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 88451628132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122543305920).

88451628132 is an abundant number, since it is smaller than the sum of its proper divisors (156634983708).

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

88451628132 is a wasteful number, since it uses less digits than its factorization.

88451628132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5561 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 88451628132 in words is "eighty-eight billion, four hundred fifty-one million, six hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 577 588 636 742 1113 1154 1484 1731 2226 2308 2597 3462 4039 4452 4919 5194 6924 7791 8078 9838 10388 12117 14757 15582 16156 19676 24234 28273 29514 30581 31164 34433 48468 56546 59028 61162 68866 84819 91743 103299 113092 122324 137732 169638 183486 206598 214067 241031 260707 339276 366972 413196 428134 482062 521414 642201 723093 782121 856268 964124 1042828 1284402 1446186 1498469 1564242 1824949 2568804 2838263 2892372 2996938 3128484 3649898 4495407 5474847 5676526 5993876 7299796 8514789 8990814 10949694 11353052 12774643 17029578 17981628 19867841 21899388 25549286 34059156 38323929 39735682 51098572 59603523 76647858 79471364 119207046 139074887 150427939 153295716 238414092 278149774 300855878 417224661 451283817 556299548 601711756 834449322 902567634 1052995573 1668898644 1805135268 2105991146 3158986719 4211982292 6317973438 7370969011 12635946876 14741938022 22112907033 29483876044 44225814066 88451628132