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501536313642 = 237135334075087
BaseRepresentation
bin1110100110001011110…
…01001101000100101010
31202221112221001112100210
413103011321031010222
531204121244014032
61022222543441550
751143352220020
oct7230571150452
91687487045323
10501536313642
111837781a06a1
128124b5b62b6
13383aa5159c0
141a3bb29a710
15d0a59522cc
hex74c5e4d12a

501536313642 has 128 divisors (see below), whose sum is σ = 1258460872704. Its totient is φ = 129713995008.

The previous prime is 501536313637. The next prime is 501536313667. The reversal of 501536313642 is 246313635105.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 501536313642.

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 63 ways as a sum of consecutive naturals, for example, 98589223 + ... + 98594309.

It is an arithmetic number, because the mean of its divisors is an integer number (9831725568).

Almost surely, 2501536313642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501536313642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629230436352).

501536313642 is an abundant number, since it is smaller than the sum of its proper divisors (756924559062).

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

501536313642 is a wasteful number, since it uses less digits than its factorization.

501536313642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572.

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 501536313642 its reverse (246313635105), we get a palindrome (747849948747).

The spelling of 501536313642 in words is "five hundred one billion, five hundred thirty-six million, three hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 3407 4134 4823 5087 6814 9646 10174 10221 14469 15261 20442 23849 28938 30522 35609 44291 47698 66131 71218 71547 88582 106827 132262 132873 143094 180571 198393 213654 265746 269611 310037 361142 396786 462917 539222 541713 620074 808833 925834 930111 1083426 1263997 1388751 1617666 1860222 1887277 2347423 2527994 2777502 3504943 3774554 3791991 4694846 5661831 7009886 7042269 7583982 10514829 11323662 14084538 16431961 17331409 21029658 24534601 32863922 34662818 49069202 49295883 51994227 73603803 98591766 103988454 121319863 147207606 225308317 242639726 363959589 450616634 675924951 727919178 918564677 1351849902 1577158219 1837129354 2755694031 3154316438 4731474657 5511388062 6429952739 9462949314 11941340801 12859905478 19289858217 23882681602 35824022403 38579716434 71648044806 83589385607 167178771214 250768156821 501536313642