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12357051039744 = 2143647338839
BaseRepresentation
bin1011001111010001100110…
…1000110100000000000000
31121202022201010121020022120
42303310121220310000000
53104424220031232434
642140430105004240
72413524146534655
oct263643150640000
947668633536276
1012357051039744
113a34661189724
121476a67483680
136b835a024878
1430a127a95c2c
1516667dec1349
hexb3d19a34000

12357051039744 has 120 divisors (see below), whose sum is σ = 32957069570880. Its totient is φ = 4118274637824.

The previous prime is 12357051039733. The next prime is 12357051039779. The reversal of 12357051039744 is 44793015075321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318141477 + ... + 318180315.

It is an arithmetic number, because the mean of its divisors is an integer number (274642246424).

Almost surely, 212357051039744 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 12357051039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478534785440).

12357051039744 is an abundant number, since it is smaller than the sum of its proper divisors (20600018531136).

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

12357051039744 is an frugal number, since it uses more digits than its factorization.

12357051039744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45343 (or 45317 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 12357051039744 in words is "twelve trillion, three hundred fifty-seven billion, fifty-one million, thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 6473 8192 12288 12946 16384 19419 24576 25892 38838 38839 49152 51784 77676 77678 103568 116517 155352 155356 207136 233034 310704 310712 414272 466068 621408 621424 828544 932136 1242816 1242848 1657088 1864272 2485632 2485696 3314176 3728544 4971264 4971392 6628352 7457088 9942528 9942784 13256704 14914176 19885056 19885568 26513408 29828352 39770112 39771136 53026816 59656704 79540224 79542272 106053632 119313408 159080448 159084544 238626816 251404847 318160896 318169088 477253632 502809694 636338176 754214541 954507264 1005619388 1508429082 1909014528 2011238776 3016858164 4022477552 6033716328 8044955104 12067432656 16089910208 24134865312 32179820416 48269730624 64359640832 96539461248 128719281664 193078922496 257438563328 386157844992 514877126656 772315689984 1029754253312 1544631379968 2059508506624 3089262759936 4119017013248 6178525519872 12357051039744