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72311309630 = 25713115750227
BaseRepresentation
bin100001101011000010…
…1110000010100111110
320220122111111010121222
41003112011300110332
52141043143402010
653115214153342
75136640663460
oct1032605602476
9226574433558
1072311309630
112873793821a
1212020ab2852
136a8524c4a1
1436dd98a130
151d334b8355
hex10d617053e

72311309630 has 64 divisors (see below), whose sum is σ = 150847944192. Its totient is φ = 24445998720.

The previous prime is 72311309569. The next prime is 72311309689. The reversal of 72311309630 is 3690311327.

It is a super-5 number, since 5×723113096305 (a number of 55 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414577 + ... + 1464803.

It is an arithmetic number, because the mean of its divisors is an integer number (2356999128).

Almost surely, 272311309630 is an apocalyptic number.

72311309630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72311309630 is an abundant number, since it is smaller than the sum of its proper divisors (78536634562).

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

72311309630 is a wasteful number, since it uses less digits than its factorization.

72311309630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529.

The product of its (nonzero) digits is 20412, while the sum is 35.

The spelling of 72311309630 in words is "seventy-two billion, three hundred eleven million, three hundred nine thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 131 157 262 314 655 785 917 1099 1310 1570 1834 2198 4585 5495 9170 10990 20567 41134 50227 100454 102835 143969 205670 251135 287938 351589 502270 703178 719845 1439690 1757945 3515890 6579737 7885639 13159474 15771278 32898685 39428195 46058159 55199473 65797370 78856390 92116318 110398946 230290795 275997365 460581590 551994730 1033018709 2066037418 5165093545 7231130963 10330187090 14462261926 36155654815 72311309630