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45331389760 = 265593836269
BaseRepresentation
bin101010001101111101…
…100001110101000000
311100000020000012100111
4222031331201311000
51220314313433020
632454105001104
73163232312116
oct521575416500
9140006005314
1045331389760
111825242a088
128951483194
13437577c667
1422a0693ab6
1512a4a9cd5a
hexa8df61d40

45331389760 has 112 divisors (see below), whose sum is σ = 110079129600. Its totient is φ = 17775847424.

The previous prime is 45331389749. The next prime is 45331389821. The reversal of 45331389760 is 6798313354.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 7227906 + ... + 7234174.

Almost surely, 245331389760 is an apocalyptic number.

45331389760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45331389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55039564800).

45331389760 is an abundant number, since it is smaller than the sum of its proper divisors (64747739840).

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

45331389760 is a wasteful number, since it uses less digits than its factorization.

45331389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 45331389760 in words is "forty-five billion, three hundred thirty-one million, three hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 383 472 590 766 944 1180 1532 1888 1915 2360 3064 3776 3830 4720 6128 6269 7660 9440 12256 12538 15320 18880 22597 24512 25076 30640 31345 45194 50152 61280 62690 90388 100304 112985 122560 125380 180776 200608 225970 250760 361552 369871 401216 451940 501520 723104 739742 903880 1003040 1446208 1479484 1807760 1849355 2006080 2401027 2958968 3615520 3698710 4802054 5917936 7231040 7397420 9604108 11835872 12005135 14794840 19208216 23671744 24010270 29589680 38416432 48020540 59179360 76832864 96041080 118358720 141660593 153665728 192082160 283321186 384164320 566642372 708302965 768328640 1133284744 1416605930 2266569488 2833211860 4533138976 5666423720 9066277952 11332847440 22665694880 45331389760