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103850417136 = 2433178788681
BaseRepresentation
bin110000010110111110…
…1111001101111110000
3100221001111212210120210
41200231331321233300
53200141201322021
6115412550504120
710334336660304
oct1405575715760
9327044783523
10103850417136
1140051942524
1218163365040
139a4044a08b
145052597d04
152a7c2b3e76
hex182df79bf0

103850417136 has 80 divisors (see below), whose sum is σ = 277289458688. Its totient is φ = 33457190400.

The previous prime is 103850417107. The next prime is 103850417137. The reversal of 103850417136 is 631714058301.

It is a junction number, because it is equal to n+sod(n) for n = 103850417094 and 103850417103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103850417137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126716 + ... + 1215396.

Almost surely, 2103850417136 is an apocalyptic number.

103850417136 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 103850417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138644729344).

103850417136 is an abundant number, since it is smaller than the sum of its proper divisors (173439041552).

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

103850417136 is a wasteful number, since it uses less digits than its factorization.

103850417136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89510 (or 89504 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 103850417136 in words is "one hundred three billion, eight hundred fifty million, four hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 787 1488 1574 2361 3148 4722 6296 9444 12592 18888 24397 37776 48794 73191 88681 97588 146382 177362 195176 266043 292764 354724 390352 532086 585528 709448 1064172 1171056 1418896 2128344 2749111 4256688 5498222 8247333 10996444 16494666 21992888 32989332 43985776 65978664 69791947 131957328 139583894 209375841 279167788 418751682 558335576 837503364 1116671152 1675006728 2163550357 3350013456 4327100714 6490651071 8654201428 12981302142 17308402856 25962604284 34616805712 51925208568 103850417136