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103494047850 = 232521927914337
BaseRepresentation
bin110000001100010111…
…0011101100001101010
3100220010200022100211100
41200120232131201222
53143423434012400
6115313340342230
710322451614634
oct1403056354152
9326120270740
10103494047850
113a989767a56
1218083b44976
1399b4673a8b
14501b10da54
152a5ad6d100
hex1818b9d86a

103494047850 has 144 divisors (see below), whose sum is σ = 292860809280. Its totient is φ = 26130470400.

The previous prime is 103494047821. The next prime is 103494047851. The reversal of 103494047850 is 58740494301.

103494047850 is a `hidden beast` number, since 10 + 34 + 94 + 0 + 478 + 50 = 666.

It is a super-2 number, since 2×1034940478502 (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 = 103494047796 and 103494047805.

It is not an unprimeable number, because it can be changed into a prime (103494047851) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 23860882 + ... + 23865218.

It is an arithmetic number, because the mean of its divisors is an integer number (2033755620).

Almost surely, 2103494047850 is an apocalyptic number.

103494047850 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 103494047850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146430404640).

103494047850 is an abundant number, since it is smaller than the sum of its proper divisors (189366761430).

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

103494047850 is a wasteful number, since it uses less digits than its factorization.

103494047850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7165 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 103494047850 in words is "one hundred three billion, four hundred ninety-four million, forty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2791 2850 4275 4337 5582 8373 8550 8674 13011 13955 16746 21685 25119 26022 27910 39033 41865 43370 50238 53029 65055 69775 78066 82403 83730 106058 108425 125595 130110 139550 159087 164806 195165 209325 216850 247209 251190 265145 318174 325275 390330 412015 418650 477261 494418 530290 627975 650550 741627 795435 824030 954522 975825 1236045 1255950 1325725 1483254 1590870 1951650 2060075 2386305 2472090 2651450 3708135 3977175 4120150 4772610 6180225 7416270 7954350 11931525 12104567 12360450 18540675 23863050 24209134 36313701 37081350 60522835 72627402 108941103 121045670 181568505 217882206 229986773 302614175 363137010 459973546 544705515 605228350 689960319 907842525 1089411030 1149933865 1379920638 1815685050 2069880957 2299867730 2723527575 3449801595 4139761914 5447055150 5749669325 6899603190 10349404785 11499338650 17249007975 20698809570 34498015950 51747023925 103494047850