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133664186496 = 2731971258031
BaseRepresentation
bin111110001111100000…
…0011010000010000000
3110210000021202012112210
41330133000122002000
54142221012431441
6141223211222120
712441215560551
oct1743700320200
9423007665483
10133664186496
1151760a48735
1221aa3a47940
13c7b2069319
14667dda6328
1537248a3616
hex1f1f01a080

133664186496 has 128 divisors (see below), whose sum is σ = 378997401600. Its totient is φ = 41615078400.

The previous prime is 133664186483. The next prime is 133664186501. The reversal of 133664186496 is 694681466331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1336641864962 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389001 + ... + 647031.

It is an arithmetic number, because the mean of its divisors is an integer number (2960917200).

Almost surely, 2133664186496 is an apocalyptic number.

133664186496 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 133664186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189498700800).

133664186496 is an abundant number, since it is smaller than the sum of its proper divisors (245333215104).

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

133664186496 is a wasteful number, since it uses less digits than its factorization.

133664186496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258138 (or 258126 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 57.

The spelling of 133664186496 in words is "one hundred thirty-three billion, six hundred sixty-four million, one hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 128 142 152 192 213 228 284 304 384 426 456 568 608 852 912 1136 1216 1349 1704 1824 2272 2432 2698 3408 3648 4047 4544 5396 6816 7296 8094 9088 10792 13632 16188 21584 27264 32376 43168 64752 86336 129504 172672 258031 259008 516062 518016 774093 1032124 1548186 2064248 3096372 4128496 4902589 6192744 8256992 9805178 12385488 14707767 16513984 18320201 19610356 24770976 29415534 33027968 36640402 39220712 49541952 54960603 58831068 73280804 78441424 99083904 109921206 117662136 146561608 156882848 219842412 235324272 293123216 313765696 348083819 439684824 470648544 586246432 627531392 696167638 879369648 941297088 1044251457 1172492864 1392335276 1758739296 1882594176 2088502914 2344985728 2784670552 3517478592 4177005828 5569341104 7034957184 8354011656 11138682208 16708023312 22277364416 33416046624 44554728832 66832093248 133664186496