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1013390845344 = 25331907615053
BaseRepresentation
bin11101011111100101100…
…11010010010110100000
310120212201221122211222000
432233302303102112200
5113100411024022334
62053313442444000
7133133525026323
oct16576263222640
93525657584860
101013390845344
1136085a793229
1214449a663600
1374740624c77
1437096a727ba
151b56216e299
hexebf2cd25a0

1013390845344 has 96 divisors (see below), whose sum is σ = 2957278040640. Its totient is φ = 337619264256.

The previous prime is 1013390845343. The next prime is 1013390845393. The reversal of 1013390845344 is 4435480933101.

1013390845344 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 39 + 0 + 84 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10133908453442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013390845344.

It is not an unprimeable number, because it can be changed into a prime (1013390845343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340122 + ... + 1955174.

It is an arithmetic number, because the mean of its divisors is an integer number (30804979590).

Almost surely, 21013390845344 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 1013390845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478639020320).

1013390845344 is an abundant number, since it is smaller than the sum of its proper divisors (1943887195296).

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

1013390845344 is a wasteful number, since it uses less digits than its factorization.

1013390845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616979 (or 616965 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1013390845344 in words is "one trillion, thirteen billion, three hundred ninety million, eight hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1907 3814 5721 7628 11442 15256 17163 22884 30512 34326 45768 51489 61024 68652 91536 102978 137304 183072 205956 274608 411912 549216 615053 823824 1230106 1647648 1845159 2460212 3690318 4920424 5535477 7380636 9840848 11070954 14761272 16606431 19681696 22141908 29522544 33212862 44283816 59045088 66425724 88567632 132851448 177135264 265702896 531405792 1172906071 2345812142 3518718213 4691624284 7037436426 9383248568 10556154639 14074872852 18766497136 21112309278 28149745704 31668463917 37532994272 42224618556 56299491408 63336927834 84449237112 112598982816 126673855668 168898474224 253347711336 337796948448 506695422672 1013390845344