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72213433152 = 2637192827907
BaseRepresentation
bin100001101000001000…
…0011000101101000000
320220101200022111100020
41003100100120231000
52140343114330102
653101400253440
75134342024350
oct1032020305500
9226350274306
1072213433152
1128697667173
1211bb4171280
136a6aba0403
1436d098cb60
151d29ad2bbc
hex10d0418b40

72213433152 has 112 divisors (see below), whose sum is σ = 229852362240. Its totient is φ = 19546486272.

The previous prime is 72213433141. The next prime is 72213433157. The reversal of 72213433152 is 25133431227.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213433157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388418 + ... + 1439489.

Almost surely, 272213433152 is an apocalyptic number.

It is an amenable number.

72213433152 is an abundant number, since it is smaller than the sum of its proper divisors (157638929088).

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

72213433152 is a wasteful number, since it uses less digits than its factorization.

72213433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827948 (or 2827938 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

Adding to 72213433152 its reverse (25133431227), we get a palindrome (97346864379).

The spelling of 72213433152 in words is "seventy-two billion, two hundred thirteen million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 2827907 5655814 8483721 11311628 16967442 19795349 22623256 33934884 39590698 45246512 53730233 59386047 67869768 79181396 90493024 107460466 118772094 135739536 158362792 161190699 180986048 214920932 237544188 271479072 316725584 322381398 376111631 429841864 475088376 542958144 633451168 644762796 752223262 859683728 950176752 1128334893 1266902336 1289525592 1504446524 1719367456 1900353504 2256669786 2579051184 3008893048 3438734912 3800707008 4513339572 5158102368 6017786096 9026679144 10316204736 12035572192 18053358288 24071144384 36106716576 72213433152