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47106402160 = 2453173925703
BaseRepresentation
bin101011110111110000…
…101010011101110000
311111120221000011121111
4223313300222131300
51232433214332120
633350153403104
73255224545306
oct536760523560
9144527004544
1047106402160
1118a83377184
129167a09494
13459943105c
1423cc304276
15135a81c75a
hexaf7c2a770

47106402160 has 80 divisors (see below), whose sum is σ = 113212753920. Its totient is φ = 18209352960.

The previous prime is 47106402107. The next prime is 47106402169. The reversal of 47106402160 is 6120460174.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47106402169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819869 + ... + 1845571.

It is an arithmetic number, because the mean of its divisors is an integer number (1415159424).

Almost surely, 247106402160 is an apocalyptic number.

47106402160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47106402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56606376960).

47106402160 is an abundant number, since it is smaller than the sum of its proper divisors (66106351760).

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

47106402160 is a wasteful number, since it uses less digits than its factorization.

47106402160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26486 (or 26480 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 47106402160 in words is "forty-seven billion, one hundred six million, four hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 739 1240 1478 2480 2956 3695 5912 7390 11824 14780 22909 25703 29560 45818 51406 59120 91636 102812 114545 128515 183272 205624 229090 257030 366544 411248 458180 514060 796793 916360 1028120 1593586 1832720 2056240 3187172 3983965 6374344 7967930 12748688 15935860 18994517 31871720 37989034 63743440 75978068 94972585 151956136 189945170 303912272 379890340 588830027 759780680 1177660054 1519561360 2355320108 2944150135 4710640216 5888300270 9421280432 11776600540 23553201080 47106402160