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10300943856 = 2437237118369
BaseRepresentation
bin10011001011111101…
…11110110111110000
3222120220001011111010
421211332332313300
5132044020200411
64422052550520
7513160402200
oct114576766760
928526034433
1010300943856
114406683645
121bb5922440
13c82158a68
146da100400
154045067a6
hex265fbedf0

10300943856 has 120 divisors (see below), whose sum is σ = 31792288080. Its totient is φ = 2863558656.

The previous prime is 10300943839. The next prime is 10300943911. The reversal of 10300943856 is 65834900301.

It is a super-2 number, since 2×103009438562 (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 23 ways as a sum of consecutive naturals, for example, 27840 + ... + 146208.

It is an arithmetic number, because the mean of its divisors is an integer number (264935734).

Almost surely, 210300943856 is an apocalyptic number.

10300943856 is a gapful number since it is divisible by the number (16) 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 10300943856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896144040).

10300943856 is an abundant number, since it is smaller than the sum of its proper divisors (21491344224).

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

10300943856 is a wasteful number, since it uses less digits than its factorization.

10300943856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118431 (or 118418 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10300943856 in words is "ten billion, three hundred million, nine hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 2072 2352 3108 3626 4144 5439 6216 7252 10878 12432 14504 21756 29008 43512 87024 118369 236738 355107 473476 710214 828583 946952 1420428 1657166 1893904 2485749 2840856 3314332 4379653 4971498 5681712 5800081 6628664 8759306 9942996 11600162 13138959 13257328 17400243 17518612 19885992 23200324 26277918 30657571 34800486 35037224 39771984 46400648 52555836 61315142 69600972 70074448 91972713 92801296 105111672 122630284 139201944 183945426 210223344 214602997 245260568 278403888 367890852 429205994 490521136 643808991 735781704 858411988 1287617982 1471563408 1716823976 2575235964 3433647952 5150471928 10300943856