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104778252264 = 233719139236153
BaseRepresentation
bin110000110010101000…
…1010011111111101000
3101000110011202201002210
41201211101103333220
53204041213033024
6120045013325120
710366334310060
oct1414521237750
9330404681083
10104778252264
1140488656814
12183820367a0
139b5a73b24a
1450dd8bc3a0
152ad398d129
hex1865453fe8

104778252264 has 128 divisors (see below), whose sum is σ = 317390976000. Its totient is φ = 28156875264.

The previous prime is 104778252259. The next prime is 104778252311. The reversal of 104778252264 is 462252877401.

It is a super-2 number, since 2×1047782522642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325612 + ... + 561764.

It is an arithmetic number, because the mean of its divisors is an integer number (2479617000).

Almost surely, 2104778252264 is an apocalyptic number.

104778252264 is a gapful number since it is divisible by the number (14) 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 104778252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695488000).

104778252264 is an abundant number, since it is smaller than the sum of its proper divisors (212612723736).

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

104778252264 is a wasteful number, since it uses less digits than its factorization.

104778252264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236327 (or 236323 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 104778252264 in words is "one hundred four billion, seven hundred seventy-eight million, two hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 139 152 168 228 266 278 399 417 456 532 556 798 834 973 1064 1112 1596 1668 1946 2641 2919 3192 3336 3892 5282 5838 7784 7923 10564 11676 15846 18487 21128 23352 31692 36974 55461 63384 73948 110922 147896 221844 236153 443688 472306 708459 944612 1416918 1653071 1889224 2833836 3306142 4486907 4959213 5667672 6612284 8973814 9918426 13224568 13460721 17947628 19836852 26921442 31408349 32825267 35895256 39673704 53842884 62816698 65650534 94225047 98475801 107685768 125633396 131301068 188450094 196951602 229776869 251266792 262602136 376900188 393903204 459553738 623680073 689330607 753800376 787806408 919107476 1247360146 1378661214 1838214952 1871040219 2494720292 2757322428 3742080438 4365760511 4989440584 5514644856 7484160876 8731521022 13097281533 14968321752 17463042044 26194563066 34926084088 52389126132 104778252264