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47005504054100 = 22529725409190717
BaseRepresentation
bin10101011000000010100100…
…10111110010001101010100
320011102200102101201220111022
422230001102113302031110
522130114233014212400
6243550010324500312
712621015132022004
oct1254012227621524
9204380371656438
1047005504054100
1113a82a16675759
125331b9424a698
13202c7a52c6127
14b87115702004
15567ac373bb85
hex2ac0525f2354

47005504054100 has 72 divisors (see below), whose sum is σ = 103058106385080. Its totient is φ = 18607534571520.

The previous prime is 47005504054099. The next prime is 47005504054123. The reversal of 47005504054100 is 145040550074.

It can be written as a sum of positive squares in 12 ways, for example, as 21237332126404 + 25768171927696 = 4608398^2 + 5076236^2 .

It is a super-3 number, since 3×470055040541003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 246371942 + ... + 246562658.

Almost surely, 247005504054100 is an apocalyptic number.

It is an amenable number.

47005504054100 is an abundant number, since it is smaller than the sum of its proper divisors (56052602330980).

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

47005504054100 is a wasteful number, since it uses less digits than its factorization.

47005504054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216237 (or 216230 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

The spelling of 47005504054100 in words is "forty-seven trillion, five billion, five hundred four million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 25409 50818 101636 127045 190717 254090 381434 508180 635225 762868 953585 1270450 1907170 2464673 2540900 3814340 4767925 4929346 9535850 9858692 12323365 18499549 19071700 24646730 36999098 49293460 61616825 73998196 92497745 123233650 184995490 246467300 369990980 462488725 924977450 1849954900 4845928253 9691856506 19383713012 24229641265 48459282530 96918565060 121148206325 242296412650 470055040541 484592825300 940110081082 1880220162164 2350275202705 4700550405410 9401100810820 11751376013525 23502752027050 47005504054100