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73404749040 = 2435743693303
BaseRepresentation
bin100010001011101000…
…0111001010011110000
321000110200222121111220
41010113100321103300
52200313103432130
653415514305040
75206016033460
oct1042720712360
9230420877456
1073404749040
1129149081457
1212287128180
136bca943c5c
1437a4c9bba0
151d994a5410
hex11174394f0

73404749040 has 80 divisors (see below), whose sum is σ = 260062545408. Its totient is φ = 16778227968.

The previous prime is 73404749039. The next prime is 73404749057. The reversal of 73404749040 is 4094740437.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×734047490403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73404748983 and 73404749001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21844972 + ... + 21848331.

Almost surely, 273404749040 is an apocalyptic number.

73404749040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73404749040 is an abundant number, since it is smaller than the sum of its proper divisors (186657796368).

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

73404749040 is a wasteful number, since it uses less digits than its factorization.

73404749040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43693326 (or 43693320 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73404749040 in words is "seventy-three billion, four hundred four million, seven hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 43693303 87386606 131079909 174773212 218466515 262159818 305853121 349546424 436933030 524319636 611706242 655399545 699092848 873866060 917559363 1048639272 1223412484 1310799090 1529265605 1747732120 1835118726 2097278544 2446824968 2621598180 3058531210 3495464240 3670237452 4587796815 4893649936 5243196360 6117062420 7340474904 9175593630 10486392720 12234124840 14680949808 18351187260 24468249680 36702374520 73404749040