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104387318256 = 24313521547587
BaseRepresentation
bin110000100110111111…
…0000001000111110000
3100222102221011012110110
41201031332001013300
53202241123141011
6115542130301320
710353546364554
oct1411576010760
9328387135413
10104387318256
11402a7a13261
1218293127840
139ac7752350
1450a39d7864
152aae4baba6
hex184df811f0

104387318256 has 160 divisors (see below), whose sum is σ = 291996811008. Its totient is φ = 31944407040.

The previous prime is 104387318221. The next prime is 104387318263. The reversal of 104387318256 is 652813783401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177831595 + ... + 177832181.

Almost surely, 2104387318256 is an apocalyptic number.

104387318256 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 104387318256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145998405504).

104387318256 is an abundant number, since it is smaller than the sum of its proper divisors (187609492752).

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

104387318256 is a wasteful number, since it uses less digits than its factorization.

104387318256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 104387318256 in words is "one hundred four billion, three hundred eighty-seven million, three hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 521 547 587 624 1042 1094 1174 1563 1641 1761 2084 2188 2348 3126 3282 3522 4168 4376 4696 6252 6564 6773 7044 7111 7631 8336 8752 9392 12504 13128 13546 14088 14222 15262 20319 21333 22893 25008 26256 27092 28176 28444 30524 40638 42666 45786 54184 56888 61048 81276 85332 91572 108368 113776 122096 162552 170664 183144 284987 305827 321089 325104 341328 366288 569974 611654 642178 854961 917481 963267 1139948 1223308 1284356 1709922 1834962 1926534 2279896 2446616 2568712 3419844 3669924 3704831 3853068 3975751 4174157 4559792 4893232 5137424 6839688 7339848 7409662 7706136 7951502 8348314 11114493 11927253 12522471 13679376 14679696 14819324 15412272 15903004 16696628 22228986 23854506 25044942 29638648 31806008 33393256 44457972 47709012 50089884 59277296 63612016 66786512 88915944 95418024 100179768 167287369 177831888 190836048 200359536 334574738 501862107 669149476 1003724214 1338298952 2007448428 2174735797 2676597904 4014896856 4349471594 6524207391 8029793712 8698943188 13048414782 17397886376 26096829564 34795772752 52193659128 104387318256