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667231405104 = 2431171139128047
BaseRepresentation
bin10011011010110100001…
…01110100010000110000
32100210020111121022011010
421231122011310100300
541412442214430404
61230304420350520
766130421236305
oct11553205642060
92323214538133
10667231405104
11237a75808310
12a9392545440
134abc5622314
14244192cd0ac
1512552399189
hex9b5a174430

667231405104 has 160 divisors (see below), whose sum is σ = 1920597073920. Its totient is φ = 197907897600.

The previous prime is 667231405091. The next prime is 667231405147. The reversal of 667231405104 is 401504132766.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5146809 + ... + 5274855.

It is an arithmetic number, because the mean of its divisors is an integer number (12003731712).

Almost surely, 2667231405104 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 667231405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960298536960).

667231405104 is an abundant number, since it is smaller than the sum of its proper divisors (1253365668816).

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

667231405104 is a wasteful number, since it uses less digits than its factorization.

667231405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128279 (or 128273 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 667231405104 in words is "six hundred sixty-seven billion, two hundred thirty-one million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 139 142 176 213 264 278 284 417 426 528 556 568 781 834 852 1112 1136 1529 1562 1668 1704 2224 2343 3058 3124 3336 3408 4587 4686 6116 6248 6672 9174 9372 9869 12232 12496 18348 18744 19738 24464 29607 36696 37488 39476 59214 73392 78952 108559 118428 128047 157904 217118 236856 256094 325677 384141 434236 473712 512188 651354 768282 868472 1024376 1302708 1408517 1536564 1736944 2048752 2605416 2817034 3073128 4225551 5210832 5634068 6146256 8451102 9091337 11268136 16902204 17798533 18182674 22536272 27274011 33804408 35597066 36365348 53395599 54548022 67608816 71194132 72730696 100004707 106791198 109096044 142388264 145461392 195783863 200009414 213582396 218192088 284776528 300014121 391567726 400018828 427164792 436384176 587351589 600028242 783135452 800037656 854329584 1174703178 1200056484 1263695843 1566270904 1600075312 2349406356 2400112968 2527391686 3132541808 3791087529 4698812712 4800225936 5054783372 7582175058 9397625424 10109566744 13900654273 15164350116 20219133488 27801308546 30328700232 41701962819 55602617092 60657400464 83403925638 111205234184 166807851276 222410468368 333615702552 667231405104