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153137471168916 = 2232131743447629027
BaseRepresentation
bin100010110100011100011000…
…100100100010000110010100
3202002012210120200000000112100
4202310130120210202012110
5130033001020104401131
61301410214423522100
744153550202521423
oct4264343044420624
9662183520000470
10153137471168916
1144881267209933
12152130992b9330
13675aa56075740
1429b5c70b472ba
1512a86cc8717e6
hex8b4718922194

153137471168916 has 144 divisors (see below), whose sum is σ = 451661270284224. Its totient is φ = 43316165587968.

The previous prime is 153137471168861. The next prime is 153137471168953. The reversal of 153137471168916 is 619861174731351.

It is a happy number.

153137471168916 is a `hidden beast` number, since 1 + 5 + 3 + 13 + 7 + 471 + 1 + 68 + 91 + 6 = 666.

It is a super-5 number, since 5×1531374711689165 (a number of 72 digits) contains 55555 as substring.

It is a congruent number.

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, 223472406 + ... + 224156621.

It is an arithmetic number, because the mean of its divisors is an integer number (3136536599196).

Almost surely, 2153137471168916 is an apocalyptic number.

It is an amenable number.

153137471168916 is an abundant number, since it is smaller than the sum of its proper divisors (298523799115308).

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

153137471168916 is a wasteful number, since it uses less digits than its factorization.

153137471168916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447629110 (or 447629105 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 153137471168916 in words is "one hundred fifty-three trillion, one hundred thirty-seven billion, four hundred seventy-one million, one hundred sixty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 43 51 52 68 78 86 102 117 129 153 156 172 204 221 234 258 306 387 442 468 516 559 612 663 731 774 884 1118 1326 1462 1548 1677 1989 2193 2236 2652 2924 3354 3978 4386 5031 6579 6708 7956 8772 9503 10062 13158 19006 20124 26316 28509 38012 57018 85527 114036 171054 342108 447629027 895258054 1342887081 1790516108 2685774162 4028661243 5371548324 5819177351 7609693459 8057322486 11638354702 15219386918 16114644972 17457532053 19248048161 22829080377 23276709404 30438773836 34915064106 38496096322 45658160754 52372596159 57744144483 68487241131 69830128212 76992192644 91316321508 98926014967 104745192318 115488288966 136974482262 173232433449 197852029934 209490384636 230976577932 250224626093 273948964524 296778044901 327216818737 346464866898 395704059868 500449252186 593556089802 654433637474 692929733796 750673878279 890334134703 981650456211 1000898504372 1187112179604 1308867274948 1501347756558 1780668269406 1963300912422 2252021634837 2944951368633 3002695513116 3561336538812 3926601824844 4253818643581 4504043269674 5889902737266 8507637287162 9008086539348 11779805474532 12761455930743 17015274574324 25522911861486 38284367792229 51045823722972 76568735584458 153137471168916