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21506142715072 = 2623472811106243
BaseRepresentation
bin1001110001111010010011…
…11111110011110011000000
32211010222010001200220022221
410320331021333303303000
510304324040013340242
6113423441403340424
74346524156614511
oct470751177636300
984128101626287
1021506142715072
116941781998154
1224b404b821714
13c00036214192
14544c8d646a08
15274656659167
hex138f49ff3cc0

21506142715072 has 112 divisors (see below), whose sum is σ = 45641114053632. Its totient is φ = 10030871459840.

The previous prime is 21506142715069. The next prime is 21506142715091. The reversal of 21506142715072 is 27051724160512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18887583 + ... + 19993825.

Almost surely, 221506142715072 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 21506142715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22820557026816).

21506142715072 is an abundant number, since it is smaller than the sum of its proper divisors (24134971338560).

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

21506142715072 is a wasteful number, since it uses less digits than its factorization.

21506142715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106606 (or 1106596 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

Adding to 21506142715072 its reverse (27051724160512), we get a palindrome (48557866875584).

The spelling of 21506142715072 in words is "twenty-one trillion, five hundred six billion, one hundred forty-two million, seven hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 184 188 281 368 376 562 736 752 1081 1124 1472 1504 2162 2248 3008 4324 4496 6463 8648 8992 12926 13207 17296 17984 25852 26414 34592 51704 52828 69184 103408 105656 206816 211312 303761 413632 422624 607522 845248 1106243 1215044 2212486 2430088 4424972 4860176 8849944 9720352 17699888 19440704 25443589 35399776 50887178 51993421 70799552 101774356 103986842 203548712 207973684 310854283 407097424 415947368 621708566 814194848 831894736 1195848683 1243417132 1628389696 1663789472 2391697366 2486834264 3327578944 4783394732 4973668528 7149648509 9566789464 9947337056 14299297018 14610151301 19133578928 19894674112 28598594036 29220302602 38267157856 57197188072 58440605204 76534315712 114394376144 116881210408 228788752288 233762420816 336033479923 457577504576 467524841632 672066959846 935049683264 1344133919692 2688267839384 5376535678768 10753071357536 21506142715072