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668320825431 = 375671811093
BaseRepresentation
bin10011011100110110000…
…01101000000001010111
32100220001102112120220010
421232123001220001113
541422210112403211
61231004454411303
766166420200000
oct11563301500127
92326042476803
10668320825431
11238484756996
12a9637360b33
134b03a23a62c
14244bdc761a7
15125b7d404a6
hex9b9b068057

668320825431 has 96 divisors (see below), whose sum is σ = 1061917828608. Its totient is φ = 373776923520.

The previous prime is 668320825429. The next prime is 668320825433. The reversal of 668320825431 is 134528023866.

It is an interprime number because it is at equal distance from previous prime (668320825429) and next prime (668320825433).

It is not a de Polignac number, because 668320825431 - 21 = 668320825429 is a prime.

It is a super-2 number, since 2×6683208254312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668320825433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611454921 + ... + 611456013.

It is an arithmetic number, because the mean of its divisors is an integer number (11061644048).

Almost surely, 2668320825431 is an apocalyptic number.

668320825431 is a deficient number, since it is larger than the sum of its proper divisors (393597003177).

668320825431 is an equidigital number, since it uses as much as digits as its factorization.

668320825431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 668320825431 in words is "six hundred sixty-eight billion, three hundred twenty million, eight hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 67 147 181 201 343 469 543 1029 1093 1267 1407 2401 3279 3283 3801 7203 7651 8869 9849 12127 16807 22953 22981 26607 36381 50421 53557 62083 68943 73231 84889 160671 160867 186249 197833 219693 254667 374899 434581 482601 512617 593499 594223 1124697 1126069 1303743 1384831 1537851 1782669 2624293 3042067 3378207 3588319 4154493 4159561 7872879 9126201 9693817 10764957 12478683 13254811 18370051 25118233 29081451 29116927 39764433 55110153 67856719 75354699 87350781 92783677 175827631 203570157 203818489 278351031 474997033 527482893 611455467 649485739 1230793417 1424991099 1948457217 3324979231 3692380251 4546400173 9974937693 13639200519 31824801211 95474403633 222773608477 668320825431