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10918902240 = 2532523329677
BaseRepresentation
bin10100010101101000…
…10011100111100000
31001011221211201000200
422022310103213200
5134330214332430
65003245545200
7534403065141
oct121264234740
931157751020
1010918902240
1146a3487954
122148875200
1310501a16cc
147581ddac8
1543d8c0460
hex28ad139e0

10918902240 has 144 divisors (see below), whose sum is σ = 38880904608. Its totient is φ = 2785102848.

The previous prime is 10918902233. The next prime is 10918902251. The reversal of 10918902240 is 4220981901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×109189022402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10918902195 and 10918902204.

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, 131719 + ... + 197958.

It is an arithmetic number, because the mean of its divisors is an integer number (270006282).

Almost surely, 210918902240 is an apocalyptic number.

10918902240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10918902240 is an abundant number, since it is smaller than the sum of its proper divisors (27962002368).

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

10918902240 is a wasteful number, since it uses less digits than its factorization.

10918902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329721 (or 329710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10918902240 in words is "ten billion, nine hundred eighteen million, nine hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 329677 659354 989031 1318708 1648385 1978062 2637416 2967093 3296770 3956124 4945155 5274832 5934186 6593540 7582571 7912248 9890310 10549664 11868372 13187080 14835465 15165142 15824496 19780620 22747713 23736744 26374160 29670930 30330284 31648992 37912855 39561240 45495426 47473488 52748320 59341860 60660568 68243139 75825710 79122480 90990852 94946976 113738565 118683720 121321136 136486278 151651420 158244960 181981704 227477130 237367440 242642272 272972556 303302840 341215695 363963408 454954260 474734880 545945112 606605680 682431390 727926816 909908520 1091890224 1213211360 1364862780 1819817040 2183780448 2729725560 3639634080 5459451120 10918902240