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152041898496 = 2931719306457
BaseRepresentation
bin1000110110011001100…
…1110100001000000000
3112112110001122201000210
42031212121310020000
54442340211222441
6153502545314120
713661511546045
oct2154631641000
9475401581023
10152041898496
1159531762774
1225572635940
1311450606517
147504a351cc
153e4cebb616
hex2366674200

152041898496 has 160 divisors (see below), whose sum is σ = 451449408960. Its totient is φ = 45188775936.

The previous prime is 152041898453. The next prime is 152041898497. The reversal of 152041898496 is 694898140251.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (152041898497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342900 + ... + 649356.

It is an arithmetic number, because the mean of its divisors is an integer number (2821558806).

Almost surely, 2152041898496 is an apocalyptic number.

152041898496 is a gapful number since it is divisible by the number (16) 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 152041898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225724704480).

152041898496 is an abundant number, since it is smaller than the sum of its proper divisors (299407510464).

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

152041898496 is a wasteful number, since it uses less digits than its factorization.

152041898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306514 (or 306498 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 152041898496 in words is "one hundred fifty-two billion, forty-one million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 512 544 608 646 768 816 912 969 1088 1216 1292 1536 1632 1824 1938 2176 2432 2584 3264 3648 3876 4352 4864 5168 6528 7296 7752 8704 9728 10336 13056 14592 15504 20672 26112 29184 31008 41344 62016 82688 124032 165376 248064 306457 496128 612914 919371 1225828 1838742 2451656 3677484 4903312 5209769 5822683 7354968 9806624 10419538 11645366 14709936 15629307 17468049 19613248 20839076 23290732 29419872 31258614 34936098 39226496 41678152 46581464 58839744 62517228 69872196 78452992 83356304 93162928 98985611 117679488 125034456 139744392 156905984 166712608 186325856 197971222 235358976 250068912 279488784 296956833 333425216 372651712 395942444 470717952 500137824 558977568 593913666 666850432 745303424 791884888 1000275648 1117955136 1187827332 1333700864 1490606848 1583769776 2000551296 2235910272 2375654664 2667401728 2981213696 3167539552 4001102592 4471820544 4751309328 6335079104 8002205184 8943641088 9502618656 12670158208 19005237312 25340316416 38010474624 50680632832 76020949248 152041898496