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2122455064352 = 25749161331481
BaseRepresentation
bin11110111000101100001…
…011100001111100100000
321111220102112122122121212
4132320230023201330200
5234233241444024402
64303013054005252
7306225262243340
oct36705413417440
97456375578555
102122455064352
11749145608107
122a3419aa6828
131251ba27692c
1474a27caad20
153a323784952
hex1ee2c2e1f20

2122455064352 has 96 divisors (see below), whose sum is σ = 4793208545664. Its totient is φ = 906261350400.

The previous prime is 2122455064321. The next prime is 2122455064361. The reversal of 2122455064352 is 2534605542212.

It is a super-2 number, since 2×21224550643522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67404452 + ... + 67435932.

It is an arithmetic number, because the mean of its divisors is an integer number (49929255684).

Almost surely, 22122455064352 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 2122455064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396604272832).

2122455064352 is an abundant number, since it is smaller than the sum of its proper divisors (2670753481312).

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

2122455064352 is a wasteful number, since it uses less digits than its factorization.

2122455064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32602 (or 32594 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 2122455064352 in words is "two trillion, one hundred twenty-two billion, four hundred fifty-five million, sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 491 613 982 1226 1964 2452 3437 3928 4291 4904 6874 7856 8582 9808 13748 15712 17164 19616 27496 31481 34328 54992 62962 68656 109984 125924 137312 220367 251848 300983 440734 503696 601966 881468 1007392 1203932 1762936 2106881 2407864 3525872 4213762 4815728 7051744 8427524 9631456 15457171 16855048 19297853 30914342 33710096 38595706 61828684 67420192 77191412 108200197 123657368 135084971 154382824 216400394 247314736 270169942 308765648 432800788 494629472 540339884 617531296 865601576 1080679768 1731203152 2161359536 3462406304 4322719072 9475245823 18950491646 37900983292 66326720761 75801966584 132653441522 151603933168 265306883044 303207866336 530613766088 1061227532176 2122455064352