Search a number
-
+
10874685388788 = 22321330529761129
BaseRepresentation
bin1001111000111111010111…
…0000100111011111110100
31102111121110112002211210200
42132033311300213133310
52411132323424420123
635043432252320500
72201445561440514
oct236176560473764
942447415084720
1010874685388788
113512a23443821
121277706173130
1360b62b165930
142984a2473844
1513cd1ed54143
hex9e3f5c277f4

10874685388788 has 72 divisors (see below), whose sum is σ = 29604318798600. Its totient is φ = 3345943044096.

The previous prime is 10874685388747. The next prime is 10874685388793. The reversal of 10874685388788 is 88788358647801.

10874685388788 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 6 + 8 + 538 + 8 + 78 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1429747344 + 10873255641444 = 37812^2 + 3297462^2 .

It is a super-2 number, since 2×108746853887882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13907008 + ... + 14668136.

It is an arithmetic number, because the mean of its divisors is an integer number (411171094425).

Almost surely, 210874685388788 is an apocalyptic number.

10874685388788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10874685388788 is an abundant number, since it is smaller than the sum of its proper divisors (18729633409812).

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

10874685388788 is a wasteful number, since it uses less digits than its factorization.

10874685388788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791681 (or 791676 counting only the distinct ones).

The product of its (nonzero) digits is 4624220160, while the sum is 81.

The spelling of 10874685388788 in words is "ten trillion, eight hundred seventy-four billion, six hundred eighty-five million, three hundred eighty-eight thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 30529 61058 91587 122116 183174 274761 366348 396877 549522 761129 793754 1099044 1190631 1522258 1587508 2283387 2381262 3044516 3571893 4566774 4762524 6850161 7143786 9133548 9894677 13700322 14287572 19789354 27400644 29684031 39578708 59368062 89052093 118736124 178104186 356208372 23236507241 46473014482 69709521723 92946028964 139419043446 209128565169 278838086892 302074594133 418257130338 604149188266 836514260676 906223782399 1208298376532 1812447564798 2718671347197 3624895129596 5437342694394 10874685388788