Search a number
-
+
10661059680 = 2535187711833
BaseRepresentation
bin10011110110111001…
…01101110001100000
31000111222122221112020
421323130231301200
5133313212402210
64521515301440
7525122340435
oct117334556140
930458587466
1010661059680
114580987a27
12209644a880
13100b94444b
14731c81b8c
15425e3c770
hex27b72dc60

10661059680 has 96 divisors (see below), whose sum is σ = 33603069024. Its totient is φ = 2841194496.

The previous prime is 10661059667. The next prime is 10661059697. The reversal of 10661059680 is 8695016601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106610596802 (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 895044 + ... + 906876.

It is an arithmetic number, because the mean of its divisors is an integer number (350031969).

Almost surely, 210661059680 is an apocalyptic number.

10661059680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10661059680 is an abundant number, since it is smaller than the sum of its proper divisors (22942009344).

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

10661059680 is a wasteful number, since it uses less digits than its factorization.

10661059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13728 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10661059680 in words is "ten billion, six hundred sixty-one million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1877 3754 5631 7508 9385 11262 11833 15016 18770 22524 23666 28155 30032 35499 37540 45048 47332 56310 59165 60064 70998 75080 90096 94664 112620 118330 141996 150160 177495 180192 189328 225240 236660 283992 300320 354990 378656 450480 473320 567984 709980 900960 946640 1135968 1419960 1893280 2839920 5679840 22210541 44421082 66631623 88842164 111052705 133263246 177684328 222105410 266526492 333158115 355368656 444210820 533052984 666316230 710737312 888421640 1066105968 1332632460 1776843280 2132211936 2665264920 3553686560 5330529840 10661059680