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10331541072 = 24321034611511
BaseRepresentation
bin10011001111100111…
…01100111001010000
3222200000121122222100
421213303230321100
5132124333303242
64425104440400
7514011435666
oct114763547120
928600548870
1010331541072
1144219817a6
122004019100
13c885ac818
147001c6c36
1540704c54c
hex267cece50

10331541072 has 120 divisors (see below), whose sum is σ = 29277376128. Its totient is φ = 3400761600.

The previous prime is 10331541067. The next prime is 10331541091. The reversal of 10331541072 is 27014513301.

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, 6836797 + ... + 6838307.

Almost surely, 210331541072 is an apocalyptic number.

10331541072 is a gapful number since it is divisible by the number (12) 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 10331541072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638688064).

10331541072 is an abundant number, since it is smaller than the sum of its proper divisors (18945835056).

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

10331541072 is a wasteful number, since it uses less digits than its factorization.

10331541072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10331541072 in words is "ten billion, three hundred thirty-one million, five hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 461 618 824 922 927 1236 1383 1511 1648 1844 1854 2472 2766 3022 3688 3708 4149 4533 4944 5532 6044 7376 7416 8298 9066 11064 12088 13599 14832 16596 18132 22128 24176 27198 33192 36264 47483 54396 66384 72528 94966 108792 142449 155633 189932 217584 284898 311266 379864 427347 466899 569796 622532 696571 759728 854694 933798 1139592 1245064 1393142 1400697 1709388 1867596 2089713 2279184 2490128 2786284 2801394 3418776 3735192 4179426 5572568 5602788 6269139 6837552 7470384 8358852 11145136 11205576 12538278 16717704 22411152 25076556 33435408 50153112 71746813 100306224 143493626 215240439 286987252 430480878 573974504 645721317 860961756 1147949008 1291442634 1721923512 2582885268 3443847024 5165770536 10331541072