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38352020345 = 561641196169
BaseRepresentation
bin100011101101111101…
…010110001101111001
310122222211002111101222
4203231331112031321
51112021104122340
625341344521425
72525253536252
oct435575261571
9118884074358
1038352020345
11152a0796591
127524020275
13380281ab82
141bdb787b29
15ee6eab8b5
hex8edf56379

38352020345 has 16 divisors (see below), whose sum is σ = 46850104080. Its totient is φ = 30131404800.

The previous prime is 38352020339. The next prime is 38352020401. The reversal of 38352020345 is 54302025383.

It can be written as a sum of positive squares in 8 ways, for example, as 512433769 + 37839586576 = 22637^2 + 194524^2 .

It is not a de Polignac number, because 38352020345 - 28 = 38352020089 is a prime.

It is a super-3 number, since 3×383520203453 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97421 + ... + 293589.

It is an arithmetic number, because the mean of its divisors is an integer number (2928131505).

Almost surely, 238352020345 is an apocalyptic number.

It is an amenable number.

38352020345 is a deficient number, since it is larger than the sum of its proper divisors (8498083735).

38352020345 is a wasteful number, since it uses less digits than its factorization.

38352020345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196876.

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 38352020345 in words is "thirty-eight billion, three hundred fifty-two million, twenty thousand, three hundred forty-five".

Divisors: 1 5 61 305 641 3205 39101 195505 196169 980845 11966309 59831545 125744329 628721645 7670404069 38352020345