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5456415420 = 2233519152903
BaseRepresentation
bin1010001010011101…
…00100101010111100
3112002021012121211000
411011032210222330
542133320243140
62301233530300
7252133523451
oct50516445274
915067177730
105456415420
112350005735
121083413990
1368c5936a1
1439a94d828
1521e060a30
hex1453a4abc

5456415420 has 96 divisors (see below), whose sum is σ = 17064714240. Its totient is φ = 1447398720.

The previous prime is 5456415409. The next prime is 5456415451. The reversal of 5456415420 is 245146545.

5456415420 is a `hidden beast` number, since 5 + 4 + 5 + 641 + 5 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×54564154202 = 59544938471227552800, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76689 + ... + 129591.

It is an arithmetic number, because the mean of its divisors is an integer number (177757440).

Almost surely, 25456415420 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 5456415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532357120).

5456415420 is an abundant number, since it is smaller than the sum of its proper divisors (11608298820).

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

5456415420 is a wasteful number, since it uses less digits than its factorization.

5456415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53112 (or 53104 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5456415420 is about 73867.5532287350. The cubic root of 5456415420 is about 1760.4991073288.

The spelling of 5456415420 in words is "five billion, four hundred fifty-six million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 382 540 573 764 955 1146 1719 1910 2292 2865 3438 3820 5157 5730 6876 8595 10314 11460 17190 20628 25785 34380 51570 52903 103140 105806 158709 211612 264515 317418 476127 529030 634836 793545 952254 1058060 1428381 1587090 1904508 2380635 2856762 3174180 4761270 5713524 7141905 9522540 10104473 14283810 20208946 28567620 30313419 40417892 50522365 60626838 90940257 101044730 121253676 151567095 181880514 202089460 272820771 303134190 363761028 454701285 545641542 606268380 909402570 1091283084 1364103855 1818805140 2728207710 5456415420