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420796861656 = 23317277892
BaseRepresentation
bin1100001111110010111…
…00101000110011011000
31111020011001112101221020
412013321130220303120
523343242444033111
6521151133042440
742254511210513
oct6077134506330
91436131471836
10420796861656
11152505949376
1269678026420
13308b113a542
141651c237d7a
15ae2c5bb906
hex61f9728cd8

420796861656 has 72 divisors (see below), whose sum is σ = 1117657648620. Its totient is φ = 131997752832.

The previous prime is 420796861609. The next prime is 420796861663. The reversal of 420796861656 is 656168697024.

420796861656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 420796861656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54020610 + ... + 54028398.

Almost surely, 2420796861656 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 420796861656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558828824310).

420796861656 is an abundant number, since it is smaller than the sum of its proper divisors (696860786964).

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

420796861656 is an frugal number, since it uses more digits than its factorization.

420796861656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15621 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

It can be divided in two parts, 4207968 and 61656, that added together give a palindrome (4269624).

The spelling of 420796861656 in words is "four hundred twenty billion, seven hundred ninety-six million, eight hundred sixty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 7789 15578 23367 31156 46734 62312 93468 132413 186936 264826 397239 529652 794478 1059304 1588956 2251021 3177912 4502042 6753063 9004084 13506126 18008168 27012252 54024504 60668521 121337042 182005563 242674084 364011126 485348168 728022252 1031364857 1456044504 2062729714 3094094571 4125459428 6188189142 8250918856 12376378284 17533202569 24752756568 35066405138 52599607707 70132810276 105199215414 140265620552 210398430828 420796861656