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5165245762272 = 2532177314451959
BaseRepresentation
bin100101100101010000010…
…1000111000101011100000
3200021210101212011121102200
41023022200220320223200
51134111410403343042
614552514154413200
71042114414364661
oct113124050705340
920253355147380
105165245762272
111711628636542
126b5086431200
132b610807a31b
1413bddbc53368
158e55e9adc4c
hex4b2a0a38ae0

5165245762272 has 144 divisors (see below), whose sum is σ = 15765758779680. Its totient is φ = 1598270939136.

The previous prime is 5165245762217. The next prime is 5165245762297. The reversal of 5165245762272 is 2722675425615.

5165245762272 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 2 + 4 + 5 + 7 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6868572 + ... + 7583387.

It is an arithmetic number, because the mean of its divisors is an integer number (109484435970).

Almost surely, 25165245762272 is an apocalyptic number.

It is an amenable number.

5165245762272 is an abundant number, since it is smaller than the sum of its proper divisors (10600513017408).

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

5165245762272 is a wasteful number, since it uses less digits than its factorization.

5165245762272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14452065 (or 14452054 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 5165245762272 in words is "five trillion, one hundred sixty-five billion, two hundred forty-five million, seven hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 7008 7446 9928 10512 11169 14892 19856 21024 22338 29784 39712 44676 59568 89352 119136 178704 357408 14451959 28903918 43355877 57807836 86711754 115615672 130067631 173423508 231231344 245683303 260135262 346847016 462462688 491366606 520270524 693694032 737049909 982733212 1040541048 1054993007 1387388064 1474099818 1965466424 2081082096 2109986014 2211149727 2948199636 3164979021 3930932848 4162164192 4219972028 4422299454 5896399272 6329958042 7861865696 8439944056 8844598908 9494937063 11792798544 12659916084 16879888112 17689197816 17934881119 18989874126 23585597088 25319832168 33759776224 35378395632 35869762238 37979748252 50639664336 53804643357 70756791264 71739524476 75959496504 101279328672 107609286714 143479048952 151918993008 161413930071 215218573428 286958097904 303837986016 322827860142 430437146856 573916195808 645655720284 860874293712 1291311440568 1721748587424 2582622881136 5165245762272