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135922261488 = 24313421563919
BaseRepresentation
bin111111010010110011…
…0010001110111110000
3110222211122201022002220
41332211212101313300
54211332044331423
6142235233441040
712551165105556
oct1764546216760
9428748638086
10135922261488
115270a633912
1222414110180
13ca81b22680
146815c3dbd6
153807c429e3
hex1fa5991df0

135922261488 has 160 divisors (see below), whose sum is σ = 380127336960. Its totient is φ = 41603466240.

The previous prime is 135922261487. The next prime is 135922261523. The reversal of 135922261488 is 884162229531.

It is a super-2 number, since 2×1359222614882 (a number of 23 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 135922261488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135922261487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147901893 + ... + 147902811.

It is an arithmetic number, because the mean of its divisors is an integer number (2375795856).

Almost surely, 2135922261488 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 135922261488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190063668480).

135922261488 is an abundant number, since it is smaller than the sum of its proper divisors (244205075472).

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

135922261488 is a wasteful number, since it uses less digits than its factorization.

135922261488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1921 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 135922261488 in words is "one hundred thirty-five billion, nine hundred twenty-two million, two hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 421 563 624 842 919 1126 1263 1684 1689 1838 2252 2526 2757 3368 3378 3676 4504 5052 5473 5514 6736 6756 7319 7352 9008 10104 10946 11028 11947 13512 14638 14704 16419 20208 21892 21957 22056 23894 27024 29276 32838 35841 43784 43914 44112 47788 58552 65676 71682 87568 87828 95576 117104 131352 143364 175656 191152 237023 262704 286728 351312 386899 474046 517397 573456 711069 773798 948092 1034794 1160697 1422138 1547596 1552191 1896184 2069588 2321394 2844276 3081299 3095192 3104382 3792368 4139176 4642788 5029687 5688552 6162598 6190384 6208764 6726161 8278352 9243897 9285576 10059374 11377104 12325196 12417528 13452322 15089061 18487794 18571152 20118748 20178483 24650392 24835056 26904644 30178122 36975588 40237496 40356966 49300784 53809288 60356244 73951176 80474992 80713932 107618576 120712488 147902352 161427864 217824137 241424976 322855728 435648274 653472411 871296548 1306944822 1742593096 2613889644 2831713781 3485186192 5227779288 5663427562 8495141343 10455558576 11326855124 16990282686 22653710248 33980565372 45307420496 67961130744 135922261488