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13263262634020 = 22571012201342611
BaseRepresentation
bin1100000100000001100000…
…0011101101000000100100
31201221221210120121000000011
43001000120003231000210
53214301130213242040
644113020404300004
72536145004150550
oct301003003550044
951857716530004
1013263262634020
114253a10a91203
1215a26139a1604
13752949663139
1433bd3400a860
1518001b9d03ea
hexc10180ed024

13263262634020 has 96 divisors (see below), whose sum is σ = 32149211786496. Its totient is φ = 4502070336000.

The previous prime is 13263262633969. The next prime is 13263262634117. The reversal of 13263262634020 is 2043626236231.

It is a super-2 number, since 2×132632626340202 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311242515 + ... + 311285125.

It is an arithmetic number, because the mean of its divisors is an integer number (334887622776).

Almost surely, 213263262634020 is an apocalyptic number.

13263262634020 is a gapful number since it is divisible by the number (10) 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 13263262634020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074605893248).

13263262634020 is an abundant number, since it is smaller than the sum of its proper divisors (18885949152476).

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

13263262634020 is a wasteful number, since it uses less digits than its factorization.

13263262634020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64741 (or 64739 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 13263262634020 in words is "thirteen trillion, two hundred sixty-three billion, two hundred sixty-two million, six hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 22013 42611 44026 85222 88052 110065 154091 170444 213055 220130 298277 308182 426110 440260 596554 616364 770455 852220 1193108 1491385 1540910 2223313 2982770 3081820 4303711 4446626 5965540 8607422 8893252 11116565 15563191 17214844 21518555 22233130 30125977 31126382 43037110 44466260 60251954 62252764 77815955 86074220 120503908 150629885 155631910 301259770 311263820 602519540 937995943 1875991886 3751983772 4689979715 6565971601 9379959430 13131943202 18759918860 26263886404 32829858005 65659716010 94737590243 131319432020 189475180486 378950360972 473687951215 663163131701 947375902430 1326326263402 1894751804860 2652652526804 3315815658505 6631631317010 13263262634020