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122482218336 = 25319142747057
BaseRepresentation
bin111001000010010000…
…0100101010101100000
3102201010222220100220220
41302010200211111200
54001320421441321
6132133443003040
711564136451362
oct1620440452540
9381128810826
10122482218336
1147a43023535
121b8a3069480
13b71c52c00a
145cdcc88d32
1532bcd6c9c6
hex1c84825560

122482218336 has 96 divisors (see below), whose sum is σ = 338682072960. Its totient is φ = 38650669056.

The previous prime is 122482218293. The next prime is 122482218379. The reversal of 122482218336 is 633812284221.

It is an interprime number because it is at equal distance from previous prime (122482218293) and next prime (122482218379).

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

It is a super-3 number, since 3×1224822183363 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2579320 + ... + 2626376.

It is an arithmetic number, because the mean of its divisors is an integer number (3527938260).

Almost surely, 2122482218336 is an apocalyptic number.

122482218336 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 122482218336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169341036480).

122482218336 is an abundant number, since it is smaller than the sum of its proper divisors (216199854624).

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

122482218336 is a wasteful number, since it uses less digits than its factorization.

122482218336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48516 (or 48508 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 122482218336 in words is "one hundred twenty-two billion, four hundred eighty-two million, two hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1427 1824 2854 4281 5708 8562 11416 17124 22832 27113 34248 45664 47057 54226 68496 81339 94114 108452 136992 141171 162678 188228 216904 282342 325356 376456 433808 564684 650712 752912 867616 894083 1129368 1301424 1505824 1788166 2258736 2602848 2682249 3576332 4517472 5364498 7152664 10728996 14305328 21457992 28610656 42915984 67150339 85831968 134300678 201451017 268601356 402902034 537202712 805804068 1074405424 1275856441 1611608136 2148810848 2551712882 3223216272 3827569323 5103425764 6446432544 7655138646 10206851528 15310277292 20413703056 30620554584 40827406112 61241109168 122482218336