Search a number
-
+
10202988478690 = 257374391613437
BaseRepresentation
bin1001010001111001000110…
…0000010000000011100010
31100010101200210212101101201
42110132101200100003202
52314131210022304230
633411104352351414
72102066365060210
oct224362140200342
940111623771351
1010202988478690
113284077006517
1211894a824556a
135901a3656a87
14273b82097cb0
1512a60a9325ca
hex947918100e2

10202988478690 has 64 divisors (see below), whose sum is σ = 22057584240384. Its totient is φ = 3324468365568.

The previous prime is 10202988478679. The next prime is 10202988478691. The reversal of 10202988478690 is 9687488920201.

It is a happy number.

It is a super-2 number, since 2×102029884786902 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10202988478691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45695349 + ... + 45918088.

It is an arithmetic number, because the mean of its divisors is an integer number (344649753756).

Almost surely, 210202988478690 is an apocalyptic number.

10202988478690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202988478690 is an abundant number, since it is smaller than the sum of its proper divisors (11854595761694).

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

10202988478690 is a wasteful number, since it uses less digits than its factorization.

10202988478690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91613531.

The product of its (nonzero) digits is 27869184, while the sum is 64.

The spelling of 10202988478690 in words is "ten trillion, two hundred two billion, nine hundred eighty-eight million, four hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 37 43 70 74 86 185 215 259 301 370 430 518 602 1295 1505 1591 2590 3010 3182 7955 11137 15910 22274 55685 111370 91613437 183226874 458067185 641294059 916134370 1282588118 3206470295 3389697169 3939377791 6412940590 6779394338 7878755582 16948485845 19696888955 23727880183 27575644537 33896971690 39393777910 47455760366 55151289074 118639400915 137878222685 145756978267 237278801830 275756445370 291513956534 728784891335 1020298847869 1457569782670 2040597695738 5101494239345 10202988478690