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66978948493056 = 283195386605931
BaseRepresentation
bin11110011101010110000000…
…11011101010111100000000
322210011010101002020010202010
433032223000123222330000
532234340341303234211
6354241412033052520
720052032532356055
oct1716530033527400
9283133332203663
1066978948493056
111a383681317726
127618b763b7140
132b4b11a9c9a22
141277b26b6d02c
157b242207d4a6
hex3ceac06eaf00

66978948493056 has 144 divisors (see below), whose sum is σ = 191184327008640. Its totient is φ = 20752166522880.

The previous prime is 66978948493007. The next prime is 66978948493063. The reversal of 66978948493056 is 65039484987966.

It is a super-2 number, since 2×669789484930562 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66978948493056.

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, 42529590 + ... + 44076341.

It is an arithmetic number, because the mean of its divisors is an integer number (1327668937560).

Almost surely, 266978948493056 is an apocalyptic number.

It is an amenable number.

66978948493056 is an abundant number, since it is smaller than the sum of its proper divisors (124205378515584).

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

66978948493056 is a wasteful number, since it uses less digits than its factorization.

66978948493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86606022 (or 86606008 counting only the distinct ones).

The product of its (nonzero) digits is 16930529280, while the sum is 84.

The spelling of 66978948493056 in words is "sixty-six trillion, nine hundred seventy-eight billion, nine hundred forty-eight million, four hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 608 636 768 848 912 1007 1216 1272 1696 1824 2014 2432 2544 3021 3392 3648 4028 4864 5088 6042 6784 7296 8056 10176 12084 13568 14592 16112 20352 24168 32224 40704 48336 64448 96672 128896 193344 257792 386688 773376 86605931 173211862 259817793 346423724 519635586 692847448 1039271172 1385694896 1645512689 2078542344 2771389792 3291025378 4157084688 4590114343 4936538067 5542779584 6582050756 8314169376 9180228686 9873076134 11085559168 13164101512 13770343029 16628338752 18360457372 19746152268 22171118336 26328203024 27540686058 33256677504 36720914744 39492304536 52656406048 55081372116 66513355008 73441829488 78984609072 87212172517 105312812096 110162744232 146883658976 157969218144 174424345034 210625624192 220325488464 261636517551 293767317952 315938436288 348848690068 421251248384 440650976928 523273035102 587534635904 631876872576 697697380136 881301953856 1046546070204 1175069271808 1263753745152 1395394760272 1762603907712 2093092140408 2790789520544 3525207815424 4186184280816 5581579041088 8372368561632 11163158082176 16744737123264 22326316164352 33489474246528 66978948493056