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11446364626104 = 2333197426137223
BaseRepresentation
bin1010011010010001000001…
…1111110101110010111000
31111112021001211110002110110
42212210100133311302320
53000014123321013404
640202215354344320
72260654404665352
oct246442037656270
944467054402413
1011446364626104
113713415475121
12134a47042b0a0
136505065b7ca5
142b801530c0d2
1514cb2d6e9b89
hexa69107f5cb8

11446364626104 has 128 divisors (see below), whose sum is σ = 29851337134080. Its totient is φ = 3653354188800.

The previous prime is 11446364626093. The next prime is 11446364626111. The reversal of 11446364626104 is 40162646364411.

11446364626104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307489237 + ... + 307526459.

It is an arithmetic number, because the mean of its divisors is an integer number (233213571360).

Almost surely, 211446364626104 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 11446364626104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925668567040).

11446364626104 is an abundant number, since it is smaller than the sum of its proper divisors (18404972507976).

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

11446364626104 is a wasteful number, since it uses less digits than its factorization.

11446364626104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41621 (or 41617 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 11446364626104 in words is "eleven trillion, four hundred forty-six billion, three hundred sixty-four million, six hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 97 124 186 194 248 291 372 388 582 744 776 1164 2328 3007 4261 6014 8522 9021 12028 12783 17044 18042 24056 25566 34088 36084 37223 51132 72168 74446 102264 111669 132091 148892 223338 264182 297784 396273 413317 446676 528364 792546 826634 893352 1056728 1153913 1239951 1585092 1653268 2307826 2479902 3170184 3306536 3461739 3610631 4615652 4959804 6923478 7221262 9231304 9919608 10831893 12812827 13846956 14442524 21663786 25625654 27693912 28885048 38438481 43327572 51251308 76876962 86655144 102502616 111929561 153753924 158607203 223859122 307507848 317214406 335788683 447718244 475821609 634428812 671577366 895436488 951643218 1268857624 1343154732 1903286436 2686309464 3806572872 4916823293 9833646586 14750469879 15384898691 19667293172 29500939758 30769797382 39334586344 46154696073 59001879516 61539594764 92309392146 118003759032 123079189528 184618784292 369237568584 476931859421 953863718842 1430795578263 1907727437684 2861591156526 3815454875368 5723182313052 11446364626104