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45363636416 = 2672273071453
BaseRepresentation
bin101010001111111000…
…100010100011000000
311100002110200111110002
4222033320202203000
51220401042331131
632501220055132
73164103355520
oct521770424300
9140073614402
1045363636416
111826965450a
1289602344a8
13437c360117
1422a4a89680
1512a781c6cb
hexa8fe228c0

45363636416 has 112 divisors (see below), whose sum is σ = 103739387136. Its totient is φ = 19279586304.

The previous prime is 45363636413. The next prime is 45363636419. The reversal of 45363636416 is 61463636354.

It is an interprime number because it is at equal distance from previous prime (45363636413) and next prime (45363636419).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (45363636413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31219946 + ... + 31221398.

It is an arithmetic number, because the mean of its divisors is an integer number (926244528).

Almost surely, 245363636416 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 45363636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51869693568).

45363636416 is an abundant number, since it is smaller than the sum of its proper divisors (58375750720).

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

45363636416 is a wasteful number, since it uses less digits than its factorization.

45363636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 47.

The spelling of 45363636416 in words is "forty-five billion, three hundred sixty-three million, six hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 227 307 448 454 614 908 1228 1453 1589 1816 2149 2456 2906 3178 3632 4298 4912 5812 6356 7264 8596 9824 10171 11624 12712 14528 17192 19648 20342 23248 25424 34384 40684 46496 50848 68768 69689 81368 92992 101696 137536 139378 162736 278756 325472 329831 446071 487823 557512 650944 659662 892142 975646 1115024 1319324 1784284 1951292 2230048 2308817 2638648 3122497 3568568 3902584 4460096 4617634 5277296 6244994 7137136 7805168 9235268 10554592 12489988 14274272 15610336 18470536 21109184 24979976 28548544 31220672 36941072 49959952 73882144 99919904 101258117 147764288 199839808 202516234 405032468 708806819 810064936 1417613638 1620129872 2835227276 3240259744 5670454552 6480519488 11340909104 22681818208 45363636416