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117322664196672 = 2633116172278209
BaseRepresentation
bin11010101011010001001111…
…101110010011101001000000
3120101101221022012010021021000
4122223101033232103221000
5110334203304013243142
61053305142102532000
733466165663303524
oct3253211756235100
9511357265107230
10117322664196672
1134423298386190
12111a9b02a37000
13506063106243c
1420d8639353d84
15d86c7219d14c
hex6ab44fb93a40

117322664196672 has 112 divisors (see below), whose sum is σ = 376262079681600. Its totient is φ = 35552322478080.

The previous prime is 117322664196671. The next prime is 117322664196713. The reversal of 117322664196672 is 276691466223711.

117322664196672 is a `hidden beast` number, since 1 + 1 + 7 + 32 + 2 + 66 + 419 + 66 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (117322664196671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3086120097 + ... + 3086158112.

It is an arithmetic number, because the mean of its divisors is an integer number (3359482854300).

Almost surely, 2117322664196672 is an apocalyptic number.

117322664196672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117322664196672 is an abundant number, since it is smaller than the sum of its proper divisors (258939415484928).

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

117322664196672 is a wasteful number, since it uses less digits than its factorization.

117322664196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172278241 (or 6172278225 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 117322664196672 in words is "one hundred seventeen trillion, three hundred twenty-two billion, six hundred sixty-four million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 6172278209 12344556418 18516834627 24689112836 37033669254 49378225672 55550503881 67895060299 74067338508 98756451344 111101007762 135790120598 148134677016 166651511643 197512902688 203685180897 222202015524 271580241196 296269354032 333303023286 395025805376 407370361794 444404031048 543160482392 592538708064 611055542691 666606046572 814740723588 888808062096 1086320964784 1185077416128 1222111085382 1333212093144 1629481447176 1777616124192 1833166628073 2172641929568 2444222170764 2666424186288 3258962894352 3555232248384 3666333256146 4345283859136 4888444341528 5332848372576 6517925788704 7332666512292 9776888683056 10665696745152 13035851577408 14665333024584 19553777366112 29330666049168 39107554732224 58661332098336 117322664196672