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47749681152 = 212321295293
BaseRepresentation
bin101100011110000110…
…100101000000000000
311120020202110010111100
4230132012211000000
51240242404244102
633534053214400
73310165410255
oct543606450000
9146222403440
1047749681152
11192834a5208
129307331400
13466c7a0b04
14244d91542c
151397038a1c
hexb1e1a5000

47749681152 has 78 divisors (see below), whose sum is σ = 137926791002. Its totient is φ = 15916548096.

The previous prime is 47749681123. The next prime is 47749681157. The reversal of 47749681152 is 25118694774.

47749681152 is a `hidden beast` number, since 4 + 77 + 496 + 81 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46077198336 + 1672482816 = 214656^2 + 40896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47749681157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610783 + ... + 684510.

Almost surely, 247749681152 is an apocalyptic number.

It is an amenable number.

47749681152 is an abundant number, since it is smaller than the sum of its proper divisors (90177109850).

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

47749681152 is a wasteful number, since it uses less digits than its factorization.

47749681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295323 (or 1295298 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 47749681152 in words is "forty-seven billion, seven hundred forty-nine million, six hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 1295293 2590586 3885879 5181172 7771758 10362344 11657637 15543516 20724688 23315274 31087032 41449376 46630548 62174064 82898752 93261096 124348128 165797504 186522192 248696256 331595008 373044384 497392512 663190016 746088768 994785024 1326380032 1492177536 1989570048 2652760064 2984355072 3979140096 5305520128 5968710144 7958280192 11937420288 15916560384 23874840576 47749681152