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3379744658420 = 2251353245264489
BaseRepresentation
bin110001001011101000011…
…110101101001111110100
3102222002201012211200101122
4301023220132231033310
5420333204113032140
611104344441243112
7466115136411104
oct61135036551764
912862635750348
103379744658420
111093383828159
12467025793498
131b6929900810
14b981ad07204
155cdacc84ab5
hex312e87ad3f4

3379744658420 has 48 divisors (see below), whose sum is σ = 7787638086480. Its totient is φ = 1224360324096.

The previous prime is 3379744658417. The next prime is 3379744658429. The reversal of 3379744658420 is 248564479733.

It can be written as a sum of positive squares in 8 ways, for example, as 3286958224 + 3376457700196 = 57332^2 + 1837514^2 .

It is a super-2 number, since 2×33797446584202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379744658429) 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, 122618465 + ... + 122646024.

It is an arithmetic number, because the mean of its divisors is an integer number (162242460135).

Almost surely, 23379744658420 is an apocalyptic number.

It is an amenable number.

3379744658420 is an abundant number, since it is smaller than the sum of its proper divisors (4407893428060).

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

3379744658420 is a wasteful number, since it uses less digits than its factorization.

3379744658420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245264564 (or 245264562 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 62.

The spelling of 3379744658420 in words is "three trillion, three hundred seventy-nine billion, seven hundred forty-four million, six hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 245264489 490528978 981057956 1226322445 2452644890 3188438357 4905289780 6376876714 12753753428 12999017917 15942191785 25998035834 31884383570 51996071668 63768767140 64995089585 129990179170 168987232921 259980358340 337974465842 675948931684 844936164605 1689872329210 3379744658420