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21356745732 = 22327294796101
BaseRepresentation
bin10011111000111101…
…100001010000000100
32001010101111002111200
4103320331201100010
5322214311330412
613451113102500
71354145225550
oct237075412004
961111432450
1021356745732
11906a365193
1241803b7a30
1320247c056a
141068578860
1584ee199dc
hex4f8f61404

21356745732 has 144 divisors (see below), whose sum is σ = 63968486400. Its totient is φ = 5878252800.

The previous prime is 21356745713. The next prime is 21356745779. The reversal of 21356745732 is 23754765312.

21356745732 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 6 + 74 + 573 + 2 = 666.

It is a super-2 number, since 2×213567457322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497482 + ... + 3503582.

It is an arithmetic number, because the mean of its divisors is an integer number (444225600).

Almost surely, 221356745732 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 21356745732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31984243200).

21356745732 is an abundant number, since it is smaller than the sum of its proper divisors (42611740668).

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

21356745732 is a wasteful number, since it uses less digits than its factorization.

21356745732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6626 (or 6621 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 21356745732 in words is "twenty-one billion, three hundred fifty-six million, seven hundred forty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 479 522 609 812 958 1044 1218 1437 1827 1916 2436 2874 3353 3654 4311 5748 6101 6706 7308 8622 10059 12202 13412 13891 17244 18303 20118 24404 27782 30177 36606 40236 41673 42707 54909 55564 60354 73212 83346 85414 97237 109818 120708 125019 128121 166692 170828 176929 194474 219636 250038 256242 291711 353858 384363 388948 500076 512484 530787 583422 707716 768726 875133 1061574 1166844 1238503 1537452 1592361 1750266 2123148 2477006 2922379 3184722 3500532 3715509 4954012 5844758 6369444 7431018 8767137 11146527 11689516 14862036 17534274 20456653 22293054 26301411 35068548 40913306 44586108 52602822 61369959 81826612 84748991 105205644 122739918 169497982 184109877 245479836 254246973 338995964 368219754 508493946 593242937 736439508 762740919 1016987892 1186485874 1525481838 1779728811 2372971748 3050963676 3559457622 5339186433 7118915244 10678372866 21356745732