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492868979955 = 33511223257037
BaseRepresentation
bin1110010110000010100…
…01111100110011110011
31202010011212221100202000
413023001101330303303
531033343424324310
61014230524425043
750415516130422
oct7130121746363
91663155840660
10492868979955
1118002a765600
127b6309a8183
133762895cca1
1419bd811d2b9
15cc49a884c0
hex72c147ccf3

492868979955 has 144 divisors (see below), whose sum is σ = 1006821086880. Its totient is φ = 228572910720.

The previous prime is 492868979849. The next prime is 492868979959. The reversal of 492868979955 is 559979868294.

492868979955 is a `hidden beast` number, since 492 + 8 + 6 + 8 + 9 + 79 + 9 + 55 = 666.

It is not a de Polignac number, because 492868979955 - 28 = 492868979699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (492868979959) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8612697 + ... + 8669733.

Almost surely, 2492868979955 is an apocalyptic number.

492868979955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

492868979955 is an abundant number, since it is smaller than the sum of its proper divisors (513952106925).

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

492868979955 is a wasteful number, since it uses less digits than its factorization.

492868979955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57119 (or 57079 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 81.

It can be divided in two parts, 4928689 and 79955, that added together give a square (5008644 = 22382).

The spelling of 492868979955 in words is "four hundred ninety-two billion, eight hundred sixty-eight million, nine hundred seventy-nine thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 121 135 165 207 253 297 345 363 495 529 605 621 759 1035 1089 1265 1485 1587 1815 2277 2645 2783 3105 3267 3795 4761 5445 5819 6831 7935 8349 11385 13915 14283 16335 17457 23805 25047 29095 34155 41745 52371 57037 64009 71415 75141 87285 125235 157113 171111 192027 261855 285185 320045 375705 513333 576081 627407 785565 855555 960135 1311851 1539999 1728243 1882221 2566665 2880405 3137035 3935553 5646663 6559255 6901477 7699995 8641215 9411105 11806659 14430361 16939989 19677765 20704431 28233315 30172573 34507385 35419977 43291083 59033295 62113293 72151805 84699945 90517719 103522155 129873249 150862865 158733971 177099885 186339879 216455415 271553157 310566465 331898303 389619747 452588595 476201913 649366245 793669855 814659471 931699395 995694909 1357765785 1428605739 1659491515 1948098735 2381009565 2987084727 3650881333 4073297355 4285817217 4978474545 7143028695 8961254181 10952643999 14935423635 18254406665 21429086085 32857931997 44806270905 54763219995 98573795991 164289659985 492868979955