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6122290134632 = 237376744399551
BaseRepresentation
bin101100100010111010011…
…1011011011111001101000
3210200021200221000001111212
41121011310323123321220
51300301422233302012
621004312525012252
71201215025336010
oct131056473337150
923607627001455
106122290134632
111a504a319a621
1282a65a6b4088
13355438b46ac9
1417246b356c40
15a93c5011b22
hex59174edbe68

6122290134632 has 128 divisors (see below), whose sum is σ = 13705873367040. Its totient is φ = 2509118726400.

The previous prime is 6122290134601. The next prime is 6122290134661. The reversal of 6122290134632 is 2364310922216.

It is a super-2 number, since 2×61222901346322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6122290134632.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61449257 + ... + 61548807.

It is an arithmetic number, because the mean of its divisors is an integer number (107077135680).

Almost surely, 26122290134632 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 6122290134632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852936683520).

6122290134632 is an abundant number, since it is smaller than the sum of its proper divisors (7583583232408).

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

6122290134632 is a wasteful number, since it uses less digits than its factorization.

6122290134632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111 (or 100107 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 6122290134632 in words is "six trillion, one hundred twenty-two billion, two hundred ninety million, one hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 67 74 134 148 259 268 296 443 469 518 536 886 938 1036 1772 1876 2072 2479 3101 3544 3752 4958 6202 9916 12404 16391 17353 19832 24808 29681 32782 34706 59362 65564 69412 99551 114737 118724 131128 138824 199102 207767 229474 237448 398204 415534 458948 696857 796408 831068 917896 1098197 1393714 1662136 2196394 2787428 3683387 4392788 5574856 6669917 7366774 7687379 8785576 13339834 14733548 15374758 25783709 26679668 29467096 30749516 44101093 46689419 51567418 53359336 61499032 88202186 93378838 103134836 176404372 186757676 206269672 246786929 308707651 352808744 373515352 493573858 617415302 987147716 1234830604 1631740441 1727508503 1974295432 2469661208 2954773231 3263480882 3455017006 5909546462 6526961764 6910034012 11422183087 11819092924 13053923528 13820068024 20683412617 22844366174 23638185848 41366825234 45688732348 82733650468 91377464696 109326609547 165467300936 218653219094 437306438188 765286266829 874612876376 1530572533658 3061145067316 6122290134632