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104016421350 = 2345229885623
BaseRepresentation
bin110000011011111011…
…1001010000111100110
3100221111002020200120000
41200313313022013212
53201011200440400
6115441240522130
710341423664512
oct1406767120746
9327432220500
10104016421350
1140127615996
12181aaa80346
139a6896071a
14506a64b142
152a8bb55600
hex1837dca1e6

104016421350 has 120 divisors (see below), whose sum is σ = 298977806160. Its totient is φ = 26781209280.

The previous prime is 104016421337. The next prime is 104016421427. The reversal of 104016421350 is 53124610401.

It is a happy number.

104016421350 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 642 + 13 + 5 + 0 = 666.

It is a super-3 number, since 3×1040164213503 (a number of 34 digits) contains 333 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325362 + ... + 560261.

It is an arithmetic number, because the mean of its divisors is an integer number (2491481718).

Almost surely, 2104016421350 is an apocalyptic number.

104016421350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104016421350 is an abundant number, since it is smaller than the sum of its proper divisors (194961384810).

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

104016421350 is a wasteful number, since it uses less digits than its factorization.

104016421350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885676 (or 885662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 104016421350 in words is "one hundred four billion, sixteen million, four hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 81 87 90 135 145 150 162 174 225 261 270 290 405 435 450 522 675 725 783 810 870 1305 1350 1450 1566 2025 2175 2349 2610 3915 4050 4350 4698 6525 7830 11745 13050 19575 23490 39150 58725 117450 885623 1771246 2656869 4428115 5313738 7970607 8856230 13284345 15941214 22140575 23911821 25683067 26568690 39853035 44281150 47823642 51366134 66421725 71735463 77049201 79706070 119559105 128415335 132843450 143470926 154098402 199265175 231147603 239118210 256830670 358677315 385246005 398530350 462295206 597795525 642076675 693442809 717354630 770492010 1155738015 1195591050 1284153350 1386885618 1793386575 1926230025 2080328427 2311476030 3467214045 3586773150 3852460050 4160656854 5778690075 6934428090 10401642135 11557380150 17336070225 20803284270 34672140450 52008210675 104016421350