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21230467552 = 2572293115061
BaseRepresentation
bin10011110001011011…
…110011100111100000
32000210120212111102001
4103301123303213200
5321434444430202
613430402333344
71351052665600
oct236133634740
960716774361
1021230467552
119005055558
12414605a254
1320045a8b48
1410558a6c00
15843cc3d87
hex4f16f39e0

21230467552 has 144 divisors (see below), whose sum is σ = 51924136320. Its totient is φ = 8501068800.

The previous prime is 21230467543. The next prime is 21230467553. The reversal of 21230467552 is 25576403212.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21230467553) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1402102 + ... + 1417162.

It is an arithmetic number, because the mean of its divisors is an integer number (360584280).

Almost surely, 221230467552 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 21230467552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25962068160).

21230467552 is an abundant number, since it is smaller than the sum of its proper divisors (30693668768).

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

21230467552 is a wasteful number, since it uses less digits than its factorization.

21230467552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 21230467552 in words is "twenty-one billion, two hundred thirty million, four hundred sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 49 56 58 62 98 112 116 124 196 203 217 224 232 248 392 406 434 464 496 784 812 868 899 928 992 1421 1519 1568 1624 1736 1798 2842 3038 3248 3472 3596 5684 6076 6293 6496 6944 7192 11368 12152 12586 14384 15061 22736 24304 25172 28768 30122 44051 45472 48608 50344 60244 88102 100688 105427 120488 176204 201376 210854 240976 352408 421708 436769 466891 481952 704816 737989 843416 873538 933782 1409632 1475978 1686832 1747076 1867564 2951956 3057383 3268237 3373664 3494152 3735128 5903912 6114766 6536474 6988304 7470256 11807824 12229532 13072948 13539839 13976608 14940512 21401681 22877659 23615648 24459064 26145896 27079678 42803362 45755318 48918128 52291792 54159356 85606724 91510636 94778873 97836256 104583584 108318712 171213448 183021272 189557746 216637424 342426896 366042544 379115492 433274848 663452111 684853792 732085088 758230984 1326904222 1516461968 2653808444 3032923936 5307616888 10615233776 21230467552