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103446990328 = 231131139272809
BaseRepresentation
bin110000001010111101…
…0111100110111111000
3100220000101202121001011
41200111322330313320
53143324412142303
6115304540003304
710321340623663
oct1402572746770
9326011677034
10103446990328
113a965146a40
1218070230534
1399a79a8aa6
145014b806da
152a56b7516d
hex1815ebcdf8

103446990328 has 64 divisors (see below), whose sum is σ = 219993984000. Its totient is φ = 45177004800.

The previous prime is 103446990319. The next prime is 103446990329. The reversal of 103446990328 is 823099644301.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103446990329) 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, 242788 + ... + 515596.

It is an arithmetic number, because the mean of its divisors is an integer number (3437406000).

Almost surely, 2103446990328 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 103446990328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109996992000).

103446990328 is an abundant number, since it is smaller than the sum of its proper divisors (116546993672).

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

103446990328 is a wasteful number, since it uses less digits than its factorization.

103446990328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272996 (or 272992 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 103446990328 in words is "one hundred three billion, four hundred forty-six million, nine hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 139 248 278 341 556 682 1112 1364 1529 2728 3058 4309 6116 8618 12232 17236 34472 47399 94798 189596 272809 379192 545618 1091236 2182472 3000899 6001798 8457079 12003596 16914158 24007192 33828316 37920451 67656632 75840902 93027869 151681804 186055738 303363608 372111476 417124961 744222952 834249922 1175533981 1668499844 2351067962 3336999688 4702135924 9404271848 12930873791 25861747582 51723495164 103446990328