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11372820456 = 23331137111577
BaseRepresentation
bin10101001011101111…
…10111011111101000
31002100120222010202110
422211313313133220
5141242420223311
65120303002320
7551554243644
oct124567673750
932316863673
1011372820456
11490672a378
1222548993a0
1310c324097a
1479c5dbc24
154686848a6
hex2a5df77e8

11372820456 has 64 divisors (see below), whose sum is σ = 29563706880. Its totient is φ = 3641840640.

The previous prime is 11372820421. The next prime is 11372820457. The reversal of 11372820456 is 65402827311.

It is not an unprimeable number, because it can be changed into a prime (11372820457) 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, 46140 + ... + 157716.

It is an arithmetic number, because the mean of its divisors is an integer number (461932920).

Almost surely, 211372820456 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 11372820456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781853440).

11372820456 is an abundant number, since it is smaller than the sum of its proper divisors (18190886424).

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

11372820456 is a wasteful number, since it uses less digits than its factorization.

11372820456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111754 (or 111750 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11372820456 in words is "eleven billion, three hundred seventy-two million, eight hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 186 248 274 372 411 548 744 822 1096 1644 3288 4247 8494 12741 16988 25482 33976 50964 101928 111577 223154 334731 446308 669462 892616 1338924 2677848 3458887 6917774 10376661 13835548 15286049 20753322 27671096 30572098 41506644 45858147 61144196 83013288 91716294 122288392 183432588 366865176 473867519 947735038 1421602557 1895470076 2843205114 3790940152 5686410228 11372820456