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72335949480 = 2333566977731
BaseRepresentation
bin100001101011110001…
…1101111111010101000
320220201012211222011000
41003113203233322220
52141121000340410
653121454235000
75140360265664
oct1032743577250
9226635758130
1072335949480
112874a837533
12120291b5a60
136a8a398792
143702d618a4
151d35733dc0
hex10d78efea8

72335949480 has 64 divisors (see below), whose sum is σ = 241119835200. Its totient is φ = 19289586240.

The previous prime is 72335949449. The next prime is 72335949481. The reversal of 72335949480 is 8494953327.

72335949480 is a `hidden beast` number, since 7 + 2 + 3 + 3 + 594 + 9 + 48 + 0 = 666.

It is a super-2 number, since 2×723359494802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72335949481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33487786 + ... + 33489945.

It is an arithmetic number, because the mean of its divisors is an integer number (3767497425).

Almost surely, 272335949480 is an apocalyptic number.

It is an amenable number.

72335949480 is an abundant number, since it is smaller than the sum of its proper divisors (168783885720).

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

72335949480 is a wasteful number, since it uses less digits than its factorization.

72335949480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66977751 (or 66977741 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 72335949480 in words is "seventy-two billion, three hundred thirty-five million, nine hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 66977731 133955462 200933193 267910924 334888655 401866386 535821848 602799579 669777310 803732772 1004665965 1205599158 1339554620 1607465544 1808398737 2009331930 2411198316 2679109240 3013997895 3616797474 4018663860 4822396632 6027995790 7233594948 8037327720 9041993685 12055991580 14467189896 18083987370 24111983160 36167974740 72335949480