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21545934750 = 232534325179
BaseRepresentation
bin10100000100001111…
…001101111110011110
32001121120110220001100
4110010033031332132
5323111224403000
613521552053530
71361633265204
oct240417157636
961546426040
1021545934750
11915713374a
1242138342a6
132054a60b22
141085745074
1586183aa00
hex5043cdf9e

21545934750 has 144 divisors (see below), whose sum is σ = 59658122160. Its totient is φ = 5610880800.

The previous prime is 21545934749. The next prime is 21545934803. The reversal of 21545934750 is 5743954512.

21545934750 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 593 + 4 + 7 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 21545934696 and 21545934705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4157661 + ... + 4162839.

It is an arithmetic number, because the mean of its divisors is an integer number (414292515).

Almost surely, 221545934750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21545934750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29829061080).

21545934750 is an abundant number, since it is smaller than the sum of its proper divisors (38112187410).

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

21545934750 is a wasteful number, since it uses less digits than its factorization.

21545934750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 21545934750 in words is "twenty-one billion, five hundred forty-five million, nine hundred thirty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 125 129 150 215 225 250 258 375 387 430 450 645 750 774 1075 1125 1290 1849 1935 2150 2250 3225 3698 3870 5179 5375 5547 6450 9245 9675 10358 10750 11094 15537 16125 16641 18490 19350 25895 27735 31074 32250 33282 46225 46611 48375 51790 55470 77685 83205 92450 93222 96750 129475 138675 155370 166410 222697 231125 233055 258950 277350 388425 416025 445394 462250 466110 647375 668091 693375 776850 832050 1113485 1165275 1294750 1336182 1386750 1942125 2004273 2080125 2226970 2330550 3340455 3884250 4008546 4160250 5567425 5826375 6680910 9575971 10021365 11134850 11652750 16702275 19151942 20042730 27837125 28727913 33404550 47879855 50106825 55674250 57455826 83511375 86183739 95759710 100213650 143639565 167022750 172367478 239399275 250534125 287279130 430918695 478798550 501068250 718197825 861837390 1196996375 1436395650 2154593475 2393992750 3590989125 4309186950 7181978250 10772967375 21545934750