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72410274020416 = 262998339688867
BaseRepresentation
bin10000011101101101010100…
…101010010011110001000000
3100111101100120111102022020011
4100131231110222103301000
533442332220122123131
6414000453132354304
721152320043541313
oct2035552452236100
9314340514368204
1072410274020416
112108802aa52972
12815571a315994
13315334b299617
1413c4966baa97a
158588563560b1
hex41db54a93c40

72410274020416 has 56 divisors (see below), whose sum is σ = 148795153686720. Its totient is φ = 34921121905152.

The previous prime is 72410274020369. The next prime is 72410274020417. The reversal of 72410274020416 is 61402047201427.

It is not an unprimeable number, because it can be changed into a prime (72410274020417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18019986 + ... + 21668881.

Almost surely, 272410274020416 is an apocalyptic number.

It is an amenable number.

72410274020416 is an abundant number, since it is smaller than the sum of its proper divisors (76384879666304).

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

72410274020416 is a wasteful number, since it uses less digits than its factorization.

72410274020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39689891 (or 39689881 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 72410274020416 in words is "seventy-two trillion, four hundred ten billion, two hundred seventy-four million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 983 1856 1966 3932 7864 15728 28507 31456 57014 62912 114028 228056 456112 912224 1824448 39688867 79377734 158755468 317510936 635021872 1150977143 1270043744 2301954286 2540087488 4603908572 9207817144 18415634288 36831268576 39014156261 73662537152 78028312522 156056625044 312113250088 624226500176 1131410531569 1248453000352 2262821063138 2496906000704 4525642126276 9051284252552 18102568505104 36205137010208 72410274020416