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103764416430 = 23561313014337
BaseRepresentation
bin110000010100011010…
…1110101011110101110
3100220211112001111210110
41200220311311132232
53200002142311210
6115400235320450
710332243662343
oct1405065653656
9326745044713
10103764416430
1140008342964
121813a5b0126
139a2869859c
145044dac7ca
152a74977420
hex1828d757ae

103764416430 has 64 divisors (see below), whose sum is σ = 249690143808. Its totient is φ = 27597772800.

The previous prime is 103764416389. The next prime is 103764416461. The reversal of 103764416430 is 34614467301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23923222 + ... + 23927558.

It is an arithmetic number, because the mean of its divisors is an integer number (3901408497).

Almost surely, 2103764416430 is an apocalyptic number.

103764416430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103764416430 is an abundant number, since it is smaller than the sum of its proper divisors (145925727378).

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

103764416430 is a wasteful number, since it uses less digits than its factorization.

103764416430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 103764416430 in words is "one hundred three billion, seven hundred sixty-four million, four hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 613 1226 1301 1839 2602 3065 3678 3903 4337 6130 6505 7806 8674 9195 13010 13011 18390 19515 21685 26022 39030 43370 65055 130110 797513 1595026 2392539 2658581 3987565 4785078 5317162 5642437 7975130 7975743 11284874 11962695 13292905 15951486 16927311 23925390 26585810 28212185 33854622 39878715 56424370 79757430 84636555 169273110 3458813881 6917627762 10376441643 17294069405 20752883286 34588138810 51882208215 103764416430