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973145016 = 233755621
BaseRepresentation
bin111010000000010…
…000001110111000
32111211010220000000
4322000100032320
53443111120031
6240321513000
733054411324
oct7200201670
92454126000
10973145016
1145a351288
12231aa2760
131267c686c
149335a984
155a6793e6
hex3a0103b8

973145016 has 64 divisors (see below), whose sum is σ = 2736602400. Its totient is φ = 324375840.

The previous prime is 973145003. The next prime is 973145023. The reversal of 973145016 is 610541379.

It is a super-2 number, since 2×9731450162 = 1894022444331280512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10315 + ... + 45306.

Almost surely, 2973145016 is an apocalyptic number.

It is an amenable number.

973145016 is an abundant number, since it is smaller than the sum of its proper divisors (1763457384).

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

973145016 is an equidigital number, since it uses as much as digits as its factorization.

973145016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55648 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 973145016 is about 31195.2723341214. The cubic root of 973145016 is about 990.9669890638.

The spelling of 973145016 in words is "nine hundred seventy-three million, one hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 55621 111242 166863 222484 333726 444968 500589 667452 1001178 1334904 1501767 2002356 3003534 4004712 4505301 6007068 9010602 12014136 13515903 18021204 27031806 36042408 40547709 54063612 81095418 108127224 121643127 162190836 243286254 324381672 486572508 973145016