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91212140640 = 2535443428951
BaseRepresentation
bin101010011110010101…
…0101101000001100000
322201102201201211111010
41110330222231001200
52443300302000030
6105522520420520
76406215255165
oct1247452550140
9281381654433
1091212140640
113575696a315
1215816917740
1387a7ca776a
1445b3cac06c
15258c9b46b0
hex153caad060

91212140640 has 96 divisors (see below), whose sum is σ = 287967488256. Its totient is φ = 24268275200.

The previous prime is 91212140623. The next prime is 91212140651. The reversal of 91212140640 is 4604121219.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×912121406402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91212140598 and 91212140607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836 + ... + 427115.

It is an arithmetic number, because the mean of its divisors is an integer number (2999661336).

Almost surely, 291212140640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91212140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983744128).

91212140640 is an abundant number, since it is smaller than the sum of its proper divisors (196755347616).

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

91212140640 is a wasteful number, since it uses less digits than its factorization.

91212140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429412 (or 429404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 91212140640 its reverse (4604121219), we get a palindrome (95816261859).

The spelling of 91212140640 in words is "ninety-one billion, two hundred twelve million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 443 480 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 14176 17720 21264 26580 35440 42528 53160 70880 106320 212640 428951 857902 1286853 1715804 2144755 2573706 3431608 4289510 5147412 6434265 6863216 8579020 10294824 12868530 13726432 17158040 20589648 25737060 34316080 41179296 51474120 68632160 102948240 190025293 205896480 380050586 570075879 760101172 950126465 1140151758 1520202344 1900252930 2280303516 2850379395 3040404688 3800505860 4560607032 5700758790 6080809376 7601011720 9121214064 11401517580 15202023440 18242428128 22803035160 30404046880 45606070320 91212140640