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130504797972 = 22337939112
BaseRepresentation
bin111100110001010110…
…0010010111100010100
3110110212002210122021000
41321202230102330110
54114233212013342
6135541510423300
712300013323363
oct1714254227424
9413762718230
10130504797972
115038a61333a
1221361961b30
13c3ca649763
14646054d7da
1535dc32844c
hex1e62b12f14

130504797972 has 72 divisors (see below), whose sum is σ = 342716259200. Its totient is φ = 42939964080.

The previous prime is 130504797971. The next prime is 130504797977. The reversal of 130504797972 is 279797405031.

130504797972 is a `hidden beast` number, since 1 + 30 + 5 + 0 + 479 + 79 + 72 = 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 (130504797971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33366697 + ... + 33370607.

Almost surely, 2130504797972 is an apocalyptic number.

130504797972 is a gapful number since it is divisible by the number (12) 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 130504797972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171358129600).

130504797972 is an abundant number, since it is smaller than the sum of its proper divisors (212211461228).

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

130504797972 is an frugal number, since it uses more digits than its factorization.

130504797972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 130504797972 in words is "one hundred thirty billion, five hundred four million, seven hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 3911 4266 7822 8532 11733 15644 23466 35199 46932 70398 105597 140796 211194 308969 422388 617938 926907 1235876 1853814 2780721 3707628 5561442 8342163 11122884 15295921 16684326 30591842 33368652 45887763 61183684 91775526 137663289 183551052 275326578 412989867 550653156 825979734 1208377759 1651959468 2416755518 3625133277 4833511036 7250266554 10875399831 14500533108 21750799662 32626199493 43501599324 65252398986 130504797972