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73688359936 = 2101724992
BaseRepresentation
bin100010010100000101…
…0110010010000000000
321001012110122112112011
41010220022302100000
52201403210004221
653504005142304
75216031503422
oct1045012622000
9231173575464
1073688359936
1129284181524
12123460ba994
136c44624059
1437d0806812
151db43281e1
hex11282b2400

73688359936 has 99 divisors (see below), whose sum is σ = 156793663929. Its totient is φ = 34607382528.

The previous prime is 73688359933. The next prime is 73688359949. The reversal of 73688359936 is 63995388637.

The square root of 73688359936 is 271456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57369830400 + 16318529536 = 239520^2 + 127744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73688359933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147671815 + ... + 147672313.

Almost surely, 273688359936 is an apocalyptic number.

73688359936 is the 271456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73688359936

73688359936 is an abundant number, since it is smaller than the sum of its proper divisors (83105303993).

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

73688359936 is an frugal number, since it uses more digits than its factorization.

73688359936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 518 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 67.

The spelling of 73688359936 in words is "seventy-three billion, six hundred eighty-eight million, three hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 499 512 544 578 998 1024 1088 1156 1996 2176 2312 3992 4352 4624 7984 8483 8704 9248 15968 16966 17408 18496 31936 33932 36992 63872 67864 73984 127744 135728 144211 147968 249001 255488 271456 288422 295936 498002 510976 542912 576844 996004 1085824 1153688 1992008 2171648 2307376 3984016 4233017 4343296 4614752 7968032 8466034 8686592 9229504 15936064 16932068 18459008 31872128 33864136 36918016 63744256 67728272 71961289 73836032 127488512 135456544 143922578 147672064 254977024 270913088 287845156 541826176 575690312 1083652352 1151380624 2167304704 2302761248 4334609408 4605522496 9211044992 18422089984 36844179968 73688359936