Search a number
-
+
10670469680 = 2451313774891
BaseRepresentation
bin10011111000000001…
…00111001000110000
31000112122101000121202
421330000213020300
5133323120012210
64522453110332
7525265332023
oct117400471060
930478330552
1010670469680
114586224892
1220996283a8
13101088a5b0
147332111ba
15426b9a9a5
hex27c027230

10670469680 has 80 divisors (see below), whose sum is σ = 26912589984. Its totient is φ = 3911055360.

The previous prime is 10670469671. The next prime is 10670469697. The reversal of 10670469680 is 8696407601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106704696802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105035 + ... + 179925.

Almost surely, 210670469680 is an apocalyptic number.

10670469680 is a gapful number since it is divisible by the number (10) 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 10670469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456294992).

10670469680 is an abundant number, since it is smaller than the sum of its proper divisors (16242120304).

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

10670469680 is a wasteful number, since it uses less digits than its factorization.

10670469680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75054 (or 75048 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 10670469680 in words is "ten billion, six hundred seventy million, four hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 137 208 260 274 520 548 685 1040 1096 1370 1781 2192 2740 3562 5480 7124 8905 10960 14248 17810 28496 35620 71240 74891 142480 149782 299564 374455 599128 748910 973583 1198256 1497820 1947166 2995640 3894332 4867915 5991280 7788664 9735830 10260067 15577328 19471660 20520134 38943320 41040268 51300335 77886640 82080536 102600670 133380871 164161072 205201340 266761742 410402680 533523484 666904355 820805360 1067046968 1333808710 2134093936 2667617420 5335234840 10670469680