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198956148408 = 233219446332587
BaseRepresentation
bin1011100101001010110…
…1011110011010111000
3201000112121002112022100
42321102231132122320
511224430233222113
6231222120423400
720242214233623
oct2712255363270
9630477075270
10198956148408
1177416617036
1232686017b60
13159b8c9a304
1498b55dadba
1552969ced73
hex2e52b5e6b8

198956148408 has 96 divisors (see below), whose sum is σ = 567344044800. Its totient is φ = 62812252224.

The previous prime is 198956148397. The next prime is 198956148409. The reversal of 198956148408 is 804841659891.

198956148408 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 5 + 614 + 8 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×1989561484082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198956148409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6089091 + ... + 6121677.

It is an arithmetic number, because the mean of its divisors is an integer number (5909833800).

Almost surely, 2198956148408 is an apocalyptic number.

198956148408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198956148408 is an abundant number, since it is smaller than the sum of its proper divisors (368387896392).

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

198956148408 is a wasteful number, since it uses less digits than its factorization.

198956148408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37081 (or 37074 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 198956148408 in words is "one hundred ninety-eight billion, nine hundred fifty-six million, one hundred forty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 4463 8926 13389 17852 26778 32587 35704 40167 53556 65174 80334 84797 97761 107112 130348 160668 169594 195522 254391 260696 293283 321336 339188 391044 508782 586566 619153 678376 763173 782088 1017564 1173132 1238306 1526346 1857459 2035128 2346264 2476612 3052692 3714918 4953224 5572377 6105384 7429836 11144754 14859672 22289508 44579016 145435781 290871562 436307343 581743124 872614686 1163486248 1308922029 1745229372 2617844058 2763279839 3490458744 5235688116 5526559678 8289839517 10471376232 11053119356 16579679034 22106238712 24869518551 33159358068 49739037102 66318716136 99478074204 198956148408