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12244279197408 = 253197578867731
BaseRepresentation
bin1011001000101101011111…
…1010010111111011100000
31121100112121212111002002020
42302023113322113323200
53101102240433304113
642012535541021440
72402422436642346
oct262132772277340
947315555432066
1012244279197408
1139a0851443425
1214590343b4880
136aa8274a8c8b
143048aa6db996
1516377d8a2023
hexb22d7e97ee0

12244279197408 has 96 divisors (see below), whose sum is σ = 33877573914240. Its totient is φ = 3861506234880.

The previous prime is 12244279197383. The next prime is 12244279197457. The reversal of 12244279197408 is 80479197244221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 3053098 + ... + 5814633.

It is an arithmetic number, because the mean of its divisors is an integer number (352891394940).

Almost surely, 212244279197408 is an apocalyptic number.

It is an amenable number.

12244279197408 is an abundant number, since it is smaller than the sum of its proper divisors (21633294716832).

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

12244279197408 is a wasteful number, since it uses less digits than its factorization.

12244279197408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868520 (or 8868512 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 12244279197408 in words is "twelve trillion, two hundred forty-four billion, two hundred seventy-nine million, one hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 757 912 1514 1824 2271 3028 4542 6056 9084 12112 14383 18168 24224 28766 36336 43149 57532 72672 86298 115064 172596 230128 345192 460256 690384 1380768 8867731 17735462 26603193 35470924 53206386 70941848 106412772 141883696 168486889 212825544 283767392 336973778 425651088 505460667 673947556 851302176 1010921334 1347895112 2021842668 2695790224 4043685336 5391580448 6712872367 8087370672 13425744734 16174741344 20138617101 26851489468 40277234202 53702978936 80554468404 107405957872 127544574973 161108936808 214811915744 255089149946 322217873616 382633724919 510178299892 644435747232 765267449838 1020356599784 1530534899676 2040713199568 3061069799352 4081426399136 6122139598704 12244279197408