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66703336704 = 2836357421
BaseRepresentation
bin111110000111110101…
…000010010100000000
320101011200002121000000
4332013311002110000
52043102023233304
650350524000000
74550654002254
oct760765022400
9211150077000
1066703336704
112631a327154
1210b16990000
1363a0463004
14332ac68264
151b05ebb939
hexf87d42500

66703336704 has 126 divisors (see below), whose sum is σ = 199628407706. Its totient is φ = 22234383360.

The previous prime is 66703336699. The next prime is 66703336717. The reversal of 66703336704 is 40763330766.

It can be written as a sum of positive squares in only one way, i.e., 51438240000 + 15265096704 = 226800^2 + 123552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66703336704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7914 + ... + 365334.

Almost surely, 266703336704 is an apocalyptic number.

66703336704 is a gapful number since it is divisible by the number (64) 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 66703336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99814203853).

66703336704 is an abundant number, since it is smaller than the sum of its proper divisors (132925071002).

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

66703336704 is an frugal number, since it uses more digits than its factorization.

66703336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357455 (or 357426 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 66703336704 in words is "sixty-six billion, seven hundred three million, three hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 357421 714842 1072263 1429684 2144526 2859368 3216789 4289052 5718736 6433578 8578104 9650367 11437472 12867156 17156208 19300734 22874944 25734312 28951101 34312416 38601468 45749888 51468624 57902202 68624832 77202936 86853303 91499776 102937248 115804404 137249664 154405872 173706606 205874496 231608808 260559909 274499328 308811744 347413212 411748992 463217616 521119818 617623488 694826424 823497984 926435232 1042239636 1235246976 1389652848 1852870464 2084479272 2470493952 2779305696 3705740928 4168958544 5558611392 7411481856 8337917088 11117222784 16675834176 22234445568 33351668352 66703336704