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47632642420 = 225111924234703
BaseRepresentation
bin101100010111001000…
…000111000101110100
311112221121012221112111
4230113020013011310
51240022424024140
633514312500404
73304244531416
oct542710070564
9145847187474
1047632642420
1119223426290
1292940aa704
134651472a1c
14243c16a9b6
15138bb1a7ea
hexb17207174

47632642420 has 96 divisors (see below), whose sum is σ = 114937159680. Its totient is φ = 16399071360.

The previous prime is 47632642403. The next prime is 47632642427. The reversal of 47632642420 is 2424623674.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47632642427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10125789 + ... + 10130491.

It is an arithmetic number, because the mean of its divisors is an integer number (1197262080).

Almost surely, 247632642420 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 47632642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57468579840).

47632642420 is an abundant number, since it is smaller than the sum of its proper divisors (67304517260).

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

47632642420 is a wasteful number, since it uses less digits than its factorization.

47632642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 47632642420 in words is "forty-seven billion, six hundred thirty-two million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2423 4180 4703 4846 9406 9692 12115 18812 23515 24230 26653 46037 47030 48460 51733 53306 89357 92074 94060 103466 106612 133265 178714 184148 206932 230185 258665 266530 357428 446785 460370 506407 517330 533060 893570 920740 982927 1012814 1034660 1787140 1965854 2025628 2532035 3931708 4914635 5064070 9829270 10128140 11395369 19658540 22790738 45581476 56976845 113953690 125349059 216512011 227907380 250698118 433024022 501396236 626745295 866048044 1082560055 1253490590 2165120110 2381632121 2506981180 4330240220 4763264242 9526528484 11908160605 23816321210 47632642420