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20416140225642 = 2373768373926029
BaseRepresentation
bin1001010010001100000001…
…10010010010110001101010
32200021202121220201021212110
410221012000302102301222
510133444223344210032
6111231013443223150
74205005662413220
oct451060062226152
980252556637773
1020416140225642
116561488a00897
122358950077ab6
13b51306764245
14508209c54b10
1525610d7237cc
hex129180c92c6a

20416140225642 has 128 divisors (see below), whose sum is σ = 48063657830400. Its totient is φ = 5659333422336.

The previous prime is 20416140225581. The next prime is 20416140225647. The reversal of 20416140225642 is 24652204161402.

It is a self number, because there is not a number n which added to its sum of digits gives 20416140225642.

It is not an unprimeable number, because it can be changed into a prime (20416140225647) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 784348284 + ... + 784374312.

It is an arithmetic number, because the mean of its divisors is an integer number (375497326800).

Almost surely, 220416140225642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416140225642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031828915200).

20416140225642 is an abundant number, since it is smaller than the sum of its proper divisors (27647517604758).

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

20416140225642 is a wasteful number, since it uses less digits than its factorization.

20416140225642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27500.

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 20416140225642 in words is "twenty trillion, four hundred sixteen billion, one hundred forty million, two hundred twenty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 683 739 777 1366 1478 1554 2049 2217 4098 4434 4781 5173 9562 10346 14343 15519 25271 26029 27343 28686 31038 50542 52058 54686 75813 78087 82029 151626 156174 164058 176897 182203 191401 353794 364406 382802 504737 530691 546609 574203 963073 1009474 1061382 1093218 1148406 1514211 1926146 2889219 3028422 3533159 5778438 6741511 7066318 10599477 13483022 17777807 18675269 19235431 20224533 21198954 35555614 37350538 38470862 40449066 53333421 56025807 57706293 106666842 112051614 115412586 124444649 130726883 134648017 248889298 261453766 269296034 373333947 392180649 403944051 657778859 711710947 746667894 784361298 807888102 1315557718 1423421894 1973336577 2135132841 3946673154 4270265682 4604452013 4981976629 9208904026 9963953258 13137799373 13813356039 14945929887 26275598746 27626712078 29891859774 39413398119 78826796238 91964595611 183929191222 275893786833 486098576801 551787573666 972197153602 1458295730403 2916591460806 3402690037607 6805380075214 10208070112821 20416140225642