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513400420350 = 232528091410247
BaseRepresentation
bin1110111100010010000…
…11001011011111111110
31211002011202110121011100
413132021003023133332
531402421001422400
61031504120433530
752043353366266
oct7361103133776
91732152417140
10513400420350
11188806175664
12836009188a6
133954b47a49c
141abc4c227a6
15d54c2cd100
hex77890cb7fe

513400420350 has 72 divisors (see below), whose sum is σ = 1381041763920. Its totient is φ = 136737452160.

The previous prime is 513400420349. The next prime is 513400420399. The reversal of 513400420350 is 53024004315.

513400420350 is a `hidden beast` number, since 5 + 1 + 3 + 400 + 4 + 203 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341074 + ... + 1069173.

It is an arithmetic number, because the mean of its divisors is an integer number (19181135610).

Almost surely, 2513400420350 is an apocalyptic number.

513400420350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513400420350 is an abundant number, since it is smaller than the sum of its proper divisors (867641343570).

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

513400420350 is a wasteful number, since it uses less digits than its factorization.

513400420350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411074 (or 1411066 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 513400420350 its reverse (53024004315), we get a palindrome (566424424665).

The spelling of 513400420350 in words is "five hundred thirteen billion, four hundred million, four hundred twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 809 1618 2427 4045 4854 7281 8090 12135 14562 20225 24270 36405 40450 60675 72810 121350 182025 364050 1410247 2820494 4230741 7051235 8461482 12692223 14102470 21153705 25384446 35256175 42307410 63461115 70512350 105768525 126922230 211537050 317305575 634611150 1140889823 2281779646 3422669469 5704449115 6845338938 10268008407 11408898230 17113347345 20536016814 28522245575 34226694690 51340042035 57044491150 85566736725 102680084070 171133473450 256700210175 513400420350