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455090121420 = 2235117121146027
BaseRepresentation
bin1101001111101010111…
…11000010101011001100
31121111200000100111112020
412213311133002223030
524424011032341140
6545022052410140
744610362130624
oct6476537025314
91544600314466
10455090121420
11166003566a70
1274248916950
1333bb7b01c1c
1418052933884
15bc880976d0
hex69f57c2acc

455090121420 has 192 divisors, whose sum is σ = 1416383926272. Its totient is φ = 108253152000.

The previous prime is 455090121401. The next prime is 455090121443. The reversal of 455090121420 is 24121090554.

It is a super-2 number, since 2×4550901214202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9864447 + ... + 9910473.

It is an arithmetic number, because the mean of its divisors is an integer number (7376999616).

Almost surely, 2455090121420 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 455090121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708191963136).

455090121420 is an abundant number, since it is smaller than the sum of its proper divisors (961293804852).

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

455090121420 is a wasteful number, since it uses less digits than its factorization.

455090121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46332 (or 46330 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 455090121420 in words is "four hundred fifty-five billion, ninety million, one hundred twenty-one thousand, four hundred twenty".