Search a number
-
+
10393967010 = 2357199248719
BaseRepresentation
bin10011010111000011…
…10101100110100010
3222211101002020021010
421223201311212202
5132241323421020
64435214441350
7515400155550
oct115341654642
928741066233
1010393967010
11445413a289
122020b03256
13c984c8a4b
147085d6bd0
1540c77dde0
hex26b8759a2

10393967010 has 64 divisors (see below), whose sum is σ = 28652544000. Its totient is φ = 2363815872.

The previous prime is 10393966997. The next prime is 10393967033. The reversal of 10393967010 is 1076939301.

10393967010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10393967010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82570 + ... + 166149.

It is an arithmetic number, because the mean of its divisors is an integer number (447696000).

Almost surely, 210393967010 is an apocalyptic number.

10393967010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10393967010 is an abundant number, since it is smaller than the sum of its proper divisors (18258576990).

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

10393967010 is a wasteful number, since it uses less digits than its factorization.

10393967010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248935.

The product of its (nonzero) digits is 30618, while the sum is 39.

The spelling of 10393967010 in words is "ten billion, three hundred ninety-three million, nine hundred sixty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 5970 6965 8358 13930 20895 41790 248719 497438 746157 1243595 1492314 1741033 2487190 3482066 3730785 5223099 7461570 8705165 10446198 17410330 26115495 49495081 52230990 98990162 148485243 247475405 296970486 346465567 494950810 692931134 742426215 1039396701 1484852430 1732327835 2078793402 3464655670 5196983505 10393967010