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201668295504 = 2431317191000577
BaseRepresentation
bin1011101111010001011…
…1011111101101010000
3201021112121110212200210
42323310113133231100
511301004040424004
6232351203244120
720366346141204
oct2736427375520
9637477425623
10201668295504
117858854a315
1233102379640
131602bb47990
149a918b2b04
1553a4b64089
hex2ef45dfb50

201668295504 has 160 divisors (see below), whose sum is σ = 625321226880. Its totient is φ = 55327850496.

The previous prime is 201668295481. The next prime is 201668295539. The reversal of 201668295504 is 405592866102.

It is a super-2 number, since 2×2016682955042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298737 + ... + 701840.

It is an arithmetic number, because the mean of its divisors is an integer number (3908257668).

Almost surely, 2201668295504 is an apocalyptic number.

201668295504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201668295504 is an abundant number, since it is smaller than the sum of its proper divisors (423652931376).

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

201668295504 is a wasteful number, since it uses less digits than its factorization.

201668295504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000637 (or 1000631 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 201668295504 in words is "two hundred one billion, six hundred sixty-eight million, two hundred ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 408 442 456 494 624 646 663 741 816 884 912 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3536 3876 3952 4199 5168 5304 5928 7752 8398 10608 11856 12597 15504 16796 25194 33592 50388 67184 100776 201552 1000577 2001154 3001731 4002308 6003462 8004616 12006924 13007501 16009232 17009809 19010963 24013848 26015002 34019618 38021926 39022503 48027696 51029427 52030004 57032889 68039236 76043852 78045006 102058854 104060008 114065778 136078472 152087704 156090012 204117708 208120016 221127517 228131556 247142519 272156944 304175408 312180024 323186371 408235416 442255034 456263112 494285038 624360048 646372742 663382551 741427557 816470832 884510068 912526224 969559113 988570076 1292745484 1326765102 1482855114 1769020136 1939118226 1977140152 2585490968 2653530204 2965710228 3538040272 3878236452 3954280304 4201422823 5170981936 5307060408 5931420456 7756472904 8402845646 10614120816 11862840912 12604268469 15512945808 16805691292 25208536938 33611382584 50417073876 67222765168 100834147752 201668295504