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130888249542 = 2335350989849
BaseRepresentation
bin111100111100110001…
…1000011000011000110
3110111211211022222221000
41321321203003003012
54121024342441132
6140043525234130
712312350523111
oct1717143030306
9414754288830
10130888249542
1150567006166
122144a262946
13c45bc1598b
146499447578
153610d1d87c
hex1e798c30c6

130888249542 has 64 divisors (see below), whose sum is σ = 296936280000. Its totient is φ = 42721645824.

The previous prime is 130888249523. The next prime is 130888249543. The reversal of 130888249542 is 245942888031.

130888249542 is a `hidden beast` number, since 1 + 30 + 8 + 8 + 82 + 495 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130888249543) 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, 1411834 + ... + 1501682.

It is an arithmetic number, because the mean of its divisors is an integer number (4639629375).

Almost surely, 2130888249542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130888249542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148468140000).

130888249542 is an abundant number, since it is smaller than the sum of its proper divisors (166048030458).

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

130888249542 is a wasteful number, since it uses less digits than its factorization.

130888249542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90422 (or 90416 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 130888249542 in words is "one hundred thirty billion, eight hundred eighty-eight million, two hundred forty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 509 954 1018 1431 1527 2862 3054 4581 9162 13743 26977 27486 53954 80931 89849 161862 179698 242793 269547 485586 539094 728379 808641 1456758 1617282 2425923 4761997 4851846 9523994 14285991 28571982 42857973 45733141 85715946 91466282 128573919 137199423 257147838 274398846 411598269 823196538 1234794807 2423856473 2469589614 4847712946 7271569419 14543138838 21814708257 43629416514 65444124771 130888249542