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513400420152 = 23342932704043
BaseRepresentation
bin1110111100010010000…
…11001011011100111000
31211002011202110120220000
413132021003023130320
531402421001421102
61031504120433000
752043353365564
oct7361103133470
91732152416800
10513400420152
111888061754a4
1283600918760
133954b47a379
141abc4c226a4
15d54c2cd01c
hex77890cb738

513400420152 has 80 divisors (see below), whose sum is σ = 1442904918840. Its totient is φ = 170549337024.

The previous prime is 513400420151. The next prime is 513400420153. The reversal of 513400420152 is 251024004315.

513400420152 is a `hidden beast` number, since 5 + 1 + 3 + 400 + 4 + 201 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (513400420151) and next prime (513400420153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513400420151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1162158 + ... + 1541885.

Almost surely, 2513400420152 is an apocalyptic number.

It is an amenable number.

513400420152 is an abundant number, since it is smaller than the sum of its proper divisors (929504498688).

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

513400420152 is a wasteful number, since it uses less digits than its factorization.

513400420152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704354 (or 2704341 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 513400420152 its reverse (251024004315), we get a palindrome (764424424467).

The spelling of 513400420152 in words is "five hundred thirteen billion, four hundred million, four hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2637 3516 5274 7032 7911 10548 15822 21096 23733 31644 47466 63288 94932 189864 2704043 5408086 8112129 10816172 16224258 21632344 24336387 32448516 48672774 64897032 73009161 97345548 146018322 194691096 219027483 292036644 438054966 584073288 792284599 876109932 1584569198 1752219864 2376853797 3169138396 4753707594 6338276792 7130561391 9507415188 14261122782 19014830376 21391684173 28522245564 42783368346 57044491128 64175052519 85566736692 128350105038 171133473384 256700210076 513400420152