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2501175072 = 253112368537
BaseRepresentation
bin1001010100010100…
…1110011100100000
320110022101212011210
42111011032130200
520110300100242
61052104510120
7115660431414
oct22505163440
96408355153
102501175072
111073936940
1259977b340
1330b251266
1419a278d44
15e98add9c
hex9514e720

2501175072 has 48 divisors (see below), whose sum is σ = 7162458912. Its totient is φ = 757931520.

The previous prime is 2501175041. The next prime is 2501175073. The reversal of 2501175072 is 2705711052.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2501175073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183213 + ... + 1185324.

It is an arithmetic number, because the mean of its divisors is an integer number (149217894).

Almost surely, 22501175072 is an apocalyptic number.

2501175072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2501175072 is an abundant number, since it is smaller than the sum of its proper divisors (4661283840).

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

2501175072 is a wasteful number, since it uses less digits than its factorization.

2501175072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368561 (or 2368553 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 2501175072 is about 50011.7493395302. The cubic root of 2501175072 is about 1357.4214173993.

The spelling of 2501175072 in words is "two billion, five hundred one million, one hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2368537 4737074 7105611 9474148 14211222 18948296 26053907 28422444 37896592 52107814 56844888 75793184 78161721 104215628 113689776 156323442 208431256 227379552 312646884 416862512 625293768 833725024 1250587536 2501175072