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385313534460 = 2232521383100109
BaseRepresentation
bin1011001101101100111…
…10011111000111111100
31100211120011101121201200
411212312132133013330
522303110231100320
6453002142135500
736560300001141
oct5466636370774
91324504347650
10385313534460
11139457499478
1262814881590
132a447a4b64a
14149138763c8
15a0523b8290
hex59b679f1fc

385313534460 has 72 divisors (see below), whose sum is σ = 1168850723040. Its totient is φ = 102744444288.

The previous prime is 385313534449. The next prime is 385313534497. The reversal of 385313534460 is 64435313583.

It is a happy number.

385313534460 is a `hidden beast` number, since 3 + 8 + 53 + 1 + 3 + 534 + 4 + 60 = 666.

It is a super-3 number, since 3×3853135344603 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3798886 + ... + 3898994.

It is an arithmetic number, because the mean of its divisors is an integer number (16234037820).

Almost surely, 2385313534460 is an apocalyptic number.

385313534460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385313534460 is an abundant number, since it is smaller than the sum of its proper divisors (783537188580).

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

385313534460 is a wasteful number, since it uses less digits than its factorization.

385313534460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121507 (or 121502 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 385313534460 in words is "three hundred eighty-five billion, three hundred thirteen million, five hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21383 42766 64149 85532 100109 106915 128298 192447 200218 213830 256596 300327 320745 384894 400436 427660 500545 600654 641490 769788 900981 962235 1001090 1201308 1282980 1501635 1801962 1924470 2002180 3003270 3603924 3848940 4504905 6006540 9009810 18019620 2140630747 4281261494 6421892241 8562522988 10703153735 12843784482 19265676723 21406307470 25687568964 32109461205 38531353446 42812614940 64218922410 77062706892 96328383615 128437844820 192656767230 385313534460