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47400049152 = 29341142941
BaseRepresentation
bin101100001001010000…
…110101101000000000
311112100101112222120000
4230021100311220000
51234033403033102
633435243320000
73265421525061
oct541120655000
9145311488500
1047400049152
1119114101545
12922a220000
134615216281
142419302568
1513764c401c
hexb09435a00

47400049152 has 100 divisors (see below), whose sum is σ = 141476789586. Its totient is φ = 15800002560.

The previous prime is 47400049141. The next prime is 47400049157. The reversal of 47400049152 is 25194000474.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36075684096 + 11324365056 = 189936^2 + 106416^2 .

It is a super-2 number, since 2×474000491522 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (47400049157) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 529999 + ... + 612942.

Almost surely, 247400049152 is an apocalyptic number.

It is an amenable number.

47400049152 is an abundant number, since it is smaller than the sum of its proper divisors (94076740434).

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

47400049152 is an equidigital number, since it uses as much as digits as its factorization.

47400049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142971 (or 1142946 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 47400049152 in words is "forty-seven billion, four hundred million, forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 1142941 2285882 3428823 4571764 6857646 9143528 10286469 13715292 18287056 20572938 27430584 30859407 36574112 41145876 54861168 61718814 73148224 82291752 92578221 109722336 123437628 146296448 164583504 185156442 219444672 246875256 292592896 329167008 370312884 438889344 493750512 585185792 658334016 740625768 877778688 987501024 1316668032 1481251536 1755557376 1975002048 2633336064 2962503072 3950004096 5266672128 5925006144 7900008192 11850012288 15800016384 23700024576 47400049152