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2503201503972 = 22313314871062871
BaseRepresentation
bin100100011011010010011…
…011111011101011100100
322212022012102020211000210
4210123102123323223210
5312003024041111342
65153542131335420
7345564444500301
oct44332233735344
98768172224023
102503201503972
11885668a99634
12345179151570
13152087a593a0
1489226d700a8
15451a9c0979c
hex246d26fbae4

2503201503972 has 96 divisors (see below), whose sum is σ = 6506341187584. Its totient is φ = 743838940800.

The previous prime is 2503201503967. The next prime is 2503201503997. The reversal of 2503201503972 is 2793051023052.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2503201503972.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1823697 + ... + 2886567.

Almost surely, 22503201503972 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 2503201503972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253170593792).

2503201503972 is an abundant number, since it is smaller than the sum of its proper divisors (4003139683612).

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

2503201503972 is a wasteful number, since it uses less digits than its factorization.

2503201503972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063409 (or 1063407 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 2503201503972 in words is "two trillion, five hundred three billion, two hundred one million, five hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 487 806 974 1209 1461 1612 1948 2418 2922 4836 5844 6331 12662 15097 18993 25324 30194 37986 45291 60388 75972 90582 181164 196261 392522 588783 785044 1062871 1177566 2125742 2355132 3188613 4251484 6377226 12754452 13817323 27634646 32949001 41451969 55269292 65898002 82903938 98847003 131796004 165807876 197694006 395388012 428337013 517618177 856674026 1035236354 1285011039 1552854531 1713348052 2070472708 2570022078 3105709062 5140044156 6211418124 6729036301 13458072602 16046163487 20187108903 26916145204 32092326974 40374217806 48138490461 64184653948 80748435612 96276980922 192553961844 208600125331 417200250662 625800375993 834400501324 1251600751986 2503201503972