Search a number
-
+
26161475904 = 263413273803
BaseRepresentation
bin11000010111010110…
…000111000101000000
32111112020102200020000
4120113112013011000
5412034314212104
620003551120000
71614206606334
oct302726070500
974466380200
1026161475904
1110105520073
1250a1513000
13260c05cb75
1413a27297c4
15a31b4d639
hex617587140

26161475904 has 140 divisors (see below), whose sum is σ = 77629658304. Its totient is φ = 8711629056.

The previous prime is 26161475903. The next prime is 26161475927. The reversal of 26161475904 is 40957416162.

26161475904 is a `hidden beast` number, since 2 + 6 + 16 + 1 + 47 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26161475904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26161475903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6877267 + ... + 6881069.

Almost surely, 226161475904 is an apocalyptic number.

26161475904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26161475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38814829152).

26161475904 is an abundant number, since it is smaller than the sum of its proper divisors (51468182400).

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

26161475904 is a wasteful number, since it uses less digits than its factorization.

26161475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26161475904 in words is "twenty-six billion, one hundred sixty-one million, four hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1327 1728 2592 2654 3803 3981 5184 5308 7606 7962 10616 11409 11943 15212 15924 21232 22818 23886 30424 31848 34227 35829 42464 45636 47772 60848 63696 68454 71658 84928 91272 95544 102681 107487 121696 127392 136908 143316 182544 191088 205362 214974 243392 254784 273816 286632 308043 365088 382176 410724 429948 547632 573264 616086 730176 764352 821448 859896 1095264 1146528 1232172 1642896 1719792 2190528 2293056 2464344 3285792 3439584 4928688 5046581 6571584 6879168 9857376 10093162 15139743 19714752 20186324 30279486 40372648 45419229 60558972 80745296 90838458 121117944 136257687 161490592 181676916 242235888 272515374 322981184 363353832 408773061 484471776 545030748 726707664 817546122 968943552 1090061496 1453415328 1635092244 2180122992 2906830656 3270184488 4360245984 6540368976 8720491968 13080737952 26161475904