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88084848464 = 24194347311461
BaseRepresentation
bin101001000001001000…
…1000001111101010000
322102100210011221002222
41102002101001331100
52420344210122324
6104244324000212
76235552600244
oct1220221017520
9272323157088
1088084848464
11343a1667428
12150a3530068
1383ca115112
14439880c424
15245817955e
hex1482441f50

88084848464 has 160 divisors (see below), whose sum is σ = 188747919360. Its totient is φ = 39672460800.

The previous prime is 88084848463. The next prime is 88084848479. The reversal of 88084848464 is 46484848088.

It is a junction number, because it is equal to n+sod(n) for n = 88084848397 and 88084848406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88084848463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191073194 + ... + 191073654.

It is an arithmetic number, because the mean of its divisors is an integer number (1179674496).

Almost surely, 288084848464 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 88084848464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94373959680).

88084848464 is an abundant number, since it is smaller than the sum of its proper divisors (100663070896).

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

88084848464 is a wasteful number, since it uses less digits than its factorization.

88084848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 62.

The spelling of 88084848464 in words is "eighty-eight billion, eighty-four million, eight hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 43 47 76 86 94 152 172 188 304 311 344 376 461 622 688 752 817 893 922 1244 1634 1786 1844 2021 2488 3268 3572 3688 4042 4976 5909 6536 7144 7376 8084 8759 11818 13072 13373 14288 14617 16168 17518 19823 21667 23636 26746 29234 32336 35036 38399 39646 43334 47272 53492 58468 70072 76798 79292 86668 94544 106984 116936 140144 143371 153596 158584 173336 213968 233872 254087 277723 286742 307192 317168 346672 376637 411673 508174 555446 573484 614384 628531 753274 823346 931681 1016348 1110892 1146968 1257062 1506548 1646692 1863362 2032696 2221784 2293936 2514124 2724049 3013096 3293384 3726724 4065392 4443568 5028248 5448098 6026192 6164953 6586768 6738437 7453448 10056496 10896196 11942089 12329906 13476874 14906896 17701939 21792392 23884178 24659812 26953748 35403878 43584784 47768356 49319624 53907496 70807756 95536712 98639248 107814992 117134107 128030303 141615512 191073424 234268214 256060606 283231024 289752791 468536428 512121212 579505582 937072856 1024242424 1159011164 1874145712 2048484848 2318022328 4636044656 5505303029 11010606058 22021212116 44042424232 88084848464