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104001000166350 = 23352721572199549
BaseRepresentation
bin10111101001011010011110…
…101010111101001111001110
3111122020101202111222221112000
4113221122132222331033032
5102112423022020310400
61005105222213453130
730622552510341300
oct2751323652751716
9448211674887460
10104001000166350
1130157638325601
12b7b81106411a6
134605338209491
141b97964d03970
15c05488490600
hex5e969eabd3ce

104001000166350 has 144 divisors (see below), whose sum is σ = 333369192582000. Its totient is φ = 23771657165760.

The previous prime is 104001000166339. The next prime is 104001000166369. The reversal of 104001000166350 is 53661000100401.

104001000166350 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 10 + 0 + 0 + 16 + 635 + 0 = 666.

It is a super-2 number, since 2×1040010001663502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786033625 + ... + 786165924.

It is an arithmetic number, because the mean of its divisors is an integer number (2315063837375).

Almost surely, 2104001000166350 is an apocalyptic number.

104001000166350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104001000166350 is an abundant number, since it is smaller than the sum of its proper divisors (229368192415650).

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

104001000166350 is a wasteful number, since it uses less digits than its factorization.

104001000166350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572199584 (or 1572199566 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 104001000166350 its reverse (53661000100401), we get a palindrome (157662000266751).

The spelling of 104001000166350 in words is "one hundred four trillion, one billion, one hundred sixty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 675 735 882 945 1050 1225 1323 1350 1470 1575 1890 2205 2450 2646 3150 3675 4410 4725 6615 7350 9450 11025 13230 22050 33075 66150 1572199549 3144399098 4716598647 7860997745 9433197294 11005396843 14149795941 15721995490 22010793686 23582993235 28299591882 33016190529 39304988725 42449387823 47165986470 55026984215 66032381058 70748979705 77037777901 78609977450 84898775646 99048571587 110053968430 117914966175 141497959410 154075555802 165080952645 198097143174 212246939115 231113333703 235829932350 275134921075 297145714761 330161905290 353744898525 385188889505 424493878230 462226667406 495242857935 550269842150 594291429522 693340001109 707489797050 770377779010 825404763225 990485715870 1061234695575 1155566668515 1386680002218 1485728573805 1650809526450 1925944447525 2080020003327 2122469391150 2311133337030 2476214289675 2971457147610 3466700005545 3851888895050 4160040006654 4952428579350 5777833342575 6933400011090 7428642869025 10400100016635 11555666685150 14857285738050 17333500027725 20800200033270 34667000055450 52000500083175 104001000166350