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253698896352 = 25311240245167
BaseRepresentation
bin1110110001000110100…
…0011111000111100000
3220020211201020021000110
43230101220133013200
513124033404140402
6312314143451320
724220616016066
oct3542150370740
9806751207013
10253698896352
119865845a890
12412032b6b40
131ac014b7365
14c3c9b86036
1568ec91356c
hex3b11a1f1e0

253698896352 has 48 divisors (see below), whose sum is σ = 726501388032. Its totient is φ = 76878453120.

The previous prime is 253698896323. The next prime is 253698896387.

253698896352 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120121528 + ... + 120123639.

It is an arithmetic number, because the mean of its divisors is an integer number (15135445584).

Almost surely, 2253698896352 is an apocalyptic number.

253698896352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253698896352 is an abundant number, since it is smaller than the sum of its proper divisors (472802491680).

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

253698896352 is a wasteful number, since it uses less digits than its factorization.

253698896352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240245191 (or 240245183 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 66.

The spelling of 253698896352 in words is "two hundred fifty-three billion, six hundred ninety-eight million, eight hundred ninety-six thousand, three hundred fifty-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 240245167 480490334 720735501 960980668 1441471002 1921961336 2642696837 2882942004 3843922672 5285393674 5765884008 7687845344 7928090511 10570787348 11531768016 15856181022 21141574696 23063536032 31712362044 42283149392 63424724088 84566298784 126849448176 253698896352