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71230313952 = 253571308611
BaseRepresentation
bin100001001010110101…
…0000101010111100000
320210212011101212100000
41002111222011113200
52131334430021302
652420040500000
75101103451540
oct1022552052740
9223764355300
1071230313952
1128232723166
121197aa7a600
1369422c3985
14363a197320
151cbd63831c
hex1095a855e0

71230313952 has 144 divisors (see below), whose sum is σ = 240072723072. Its totient is φ = 20351502720.

The previous prime is 71230313927. The next prime is 71230314011. The reversal of 71230313952 is 25931303217.

It is a happy number.

71230313952 is a `hidden beast` number, since 7 + 1 + 230 + 31 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599874 + ... + 708737.

It is an arithmetic number, because the mean of its divisors is an integer number (1667171688).

Almost surely, 271230313952 is an apocalyptic number.

71230313952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71230313952 is an abundant number, since it is smaller than the sum of its proper divisors (168842409120).

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

71230313952 is a wasteful number, since it uses less digits than its factorization.

71230313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308643 (or 1308623 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 71230313952 in words is "seventy-one billion, two hundred thirty million, three hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 1308611 2617222 3925833 5234444 7851666 9160277 10468888 11777499 15703332 18320554 20937776 23554998 27480831 31406664 35332497 36641108 41875552 47109996 54961662 62813328 70664994 73282216 82442493 94219992 105997491 109923324 125626656 141329988 146564432 164884986 188439984 211994982 219846648 247327479 282659976 293128864 317992473 329769972 376879968 423989964 439693296 494654958 565319952 635984946 659539944 741982437 847979928 879386592 989309916 1130639904 1271969892 1319079888 1483964874 1695959856 1978619832 2225947311 2543939784 2638159776 2967929748 3391919712 3957239664 4451894622 5087879568 5935859496 7914479328 8903789244 10175759136 11871718992 17807578488 23743437984 35615156976 71230313952