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46149042204 = 223259181120041
BaseRepresentation
bin101010111110101100…
…101000000000011100
311102010012120020122100
4222332230220000130
51224003123322304
633111154045100
73222421246356
oct527654500034
9142105506570
1046149042204
1118631a27501
128b3b279790
134475ca3285
14233b0d60d6
151301760439
hexabeb2801c

46149042204 has 72 divisors (see below), whose sum is σ = 119288136240. Its totient is φ = 15038611200.

The previous prime is 46149042179. The next prime is 46149042209. The reversal of 46149042204 is 40224094164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46149042209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324424 + ... + 444464.

It is an arithmetic number, because the mean of its divisors is an integer number (1656779670).

Almost surely, 246149042204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46149042204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59644068120).

46149042204 is an abundant number, since it is smaller than the sum of its proper divisors (73139094036).

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

46149042204 is a wasteful number, since it uses less digits than its factorization.

46149042204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120291 (or 120286 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46149042204 in words is "forty-six billion, one hundred forty-nine million, forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 181 236 354 362 531 543 708 724 1062 1086 1629 2124 2172 3258 6516 10679 21358 32037 42716 64074 96111 120041 128148 192222 240082 360123 384444 480164 720246 1080369 1440492 2160738 4321476 7082419 14164838 21247257 21727421 28329676 42494514 43454842 63741771 65182263 84989028 86909684 127483542 130364526 195546789 254967084 260729052 391093578 782187156 1281917839 2563835678 3845753517 5127671356 7691507034 11537260551 15383014068 23074521102 46149042204