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21152740745584 = 2472931922122783
BaseRepresentation
bin1001100111101000000011…
…00110010010000101110000
32202220011220212112202011001
410303310001212102011300
510233031303112324314
6112553233540531344
74312143430500040
oct463640146220560
982804825482131
1021152740745584
116815910777878
1224576620b0b54
13ba59058b0476
14531b26053720
1526a370b0e674
hex133d01992170

21152740745584 has 160 divisors (see below), whose sum is σ = 50023952547840. Its totient is φ = 8469217612800.

The previous prime is 21152740745569. The next prime is 21152740745597. The reversal of 21152740745584 is 48554704725112.

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, 928432657 + ... + 928455439.

It is an arithmetic number, because the mean of its divisors is an integer number (312649703424).

Almost surely, 221152740745584 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 21152740745584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25011976273920).

21152740745584 is an abundant number, since it is smaller than the sum of its proper divisors (28871211802256).

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

21152740745584 is a wasteful number, since it uses less digits than its factorization.

21152740745584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32079 (or 32073 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 55.

The spelling of 21152740745584 in words is "twenty-one trillion, one hundred fifty-two billion, seven hundred forty million, seven hundred forty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 203 217 232 248 406 434 464 496 812 868 899 1624 1736 1798 3248 3472 3596 6293 7192 9221 12586 14384 18442 22783 25172 36884 45566 50344 64547 73768 91132 100688 129094 147536 159481 182264 258188 267409 285851 318962 364528 516376 534818 571702 637924 660707 706273 1032752 1069636 1143404 1275848 1321414 1412546 1871863 2000957 2139272 2286808 2551696 2642828 2825092 3743726 4001914 4278544 4573616 4624949 4943911 5285656 5650184 7487452 8003828 8289679 9249898 9887822 10571312 11300368 14974904 16007656 16579358 18499796 19775644 20481917 29949808 32015312 33158716 36999592 39551288 40963834 58027753 66317432 73999184 79102576 81927668 116055506 132634864 143373419 163855336 210082043 232111012 286746838 327710672 420164086 464222024 573493676 840328172 928444048 1146987352 1470574301 1680656344 2293974704 2941148602 3361312688 5882297204 6092379247 6512543333 11764594408 12184758494 13025086666 23529188816 24369516988 26050173332 42646654729 45587803331 48739033976 52100346664 85293309458 91175606662 97478067952 104200693328 170586618916 182351213324 188863756657 341173237832 364702426648 377727513314 682346475664 729404853296 755455026628 1322046296599 1510910053256 2644092593198 3021820106512 5288185186396 10576370372792 21152740745584