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66697937376 = 2537108791309
BaseRepresentation
bin111110000111100000…
…011100000111100000
320101011021221021111220
4332013200130013200
52043044132444001
650350212135040
74550560053630
oct760740340740
9211137837456
1066697937376
11263172795a4
1210b15007480
13639c2c2545
14332a2606c0
151b057a1c36
hexf8781c1e0

66697937376 has 96 divisors (see below), whose sum is σ = 200280084480. Its totient is φ = 19038813696.

The previous prime is 66697937351. The next prime is 66697937393. The reversal of 66697937376 is 67373979666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×666979373762 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66697937376.

It is a congruent number.

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, 684810 + ... + 776118.

It is an arithmetic number, because the mean of its divisors is an integer number (2086250880).

Almost surely, 266697937376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66697937376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100140042240).

66697937376 is an abundant number, since it is smaller than the sum of its proper divisors (133582147104).

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

66697937376 is a wasteful number, since it uses less digits than its factorization.

66697937376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92416 (or 92408 counting only the distinct ones).

The product of its digits is 324060912, while the sum is 69.

The spelling of 66697937376 in words is "sixty-six billion, six hundred ninety-seven million, nine hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1087 2174 3261 4348 6522 7609 8696 13044 15218 17392 22827 26088 30436 34784 45654 52176 60872 91308 91309 104352 121744 182616 182618 243488 273927 365232 365236 547854 639163 730464 730472 1095708 1278326 1460944 1917489 2191416 2556652 2921888 3834978 4382832 5113304 7669956 8765664 10226608 15339912 20453216 30679824 61359648 99252883 198505766 297758649 397011532 595517298 694770181 794023064 1191034596 1389540362 1588046128 2084310543 2382069192 2779080724 3176092256 4168621086 4764138384 5558161448 8337242172 9528276768 11116322896 16674484344 22232645792 33348968688 66697937376