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104696315550 = 232523726323909
BaseRepresentation
bin110000110000001100…
…0101111111010011110
3101000020110120220001200
41201200120233322132
53203404224044200
6120032525220330
710364320666401
oct1414030577236
9330213526050
10104696315550
1140446382522
121835a7016a6
139b46780498
1450d2a6dd38
152acb6a5800
hex186062fe9e

104696315550 has 144 divisors (see below), whose sum is σ = 289996930080. Its totient is φ = 27060030720.

The previous prime is 104696315527. The next prime is 104696315551. The reversal of 104696315550 is 55513696401.

104696315550 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 9 + 631 + 5 + 5 + 5 + 0 = 666.

It is a super-2 number, since 2×1046963155502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 104696315496 and 104696315505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104696315551) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4366996 + ... + 4390904.

It is an arithmetic number, because the mean of its divisors is an integer number (2013867570).

Almost surely, 2104696315550 is an apocalyptic number.

104696315550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104696315550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144998465040).

104696315550 is an abundant number, since it is smaller than the sum of its proper divisors (185300614530).

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

104696315550 is a wasteful number, since it uses less digits than its factorization.

104696315550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24227 (or 24219 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 104696315550 in words is "one hundred four billion, six hundred ninety-six million, three hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 263 333 370 450 526 555 666 789 925 1110 1315 1578 1665 1850 2367 2630 2775 3330 3945 4734 5550 6575 7890 8325 9731 11835 13150 16650 19462 19725 23670 23909 29193 39450 47818 48655 58386 59175 71727 87579 97310 118350 119545 143454 145965 175158 215181 239090 243275 291930 358635 430362 437895 486550 597725 717270 729825 875790 884633 1075905 1195450 1459650 1769266 1793175 2151810 2189475 2653899 3586350 4378950 4423165 5307798 5379525 6288067 7961697 8846330 10759050 12576134 13269495 15923394 18864201 22115825 26538990 31440335 37728402 39808485 44231650 56592603 62880670 66347475 79616970 94321005 113185206 132694950 157201675 188642010 199042425 232658479 282963015 314403350 398084850 465316958 471605025 565926030 697975437 943210050 1163292395 1395950874 1414815075 2093926311 2326584790 2829630150 3489877185 4187852622 5816461975 6979754370 10469631555 11632923950 17449385925 20939263110 34898771850 52348157775 104696315550