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73194055936 = 283724572
BaseRepresentation
bin100010000101010110…
…1001010100100000000
320222221000112021220121
41010022231022210000
52144400134242221
653342550350024
75200550132041
oct1041255124400
9228830467817
1073194055936
1129050155621
121222865b314
136b960b4791
143784cd48c8
151d85c37a41
hex110ab4a900

73194055936 has 81 divisors (see below), whose sum is σ = 150486918939. Its totient is φ = 35530002432.

The previous prime is 73194055931. The next prime is 73194055967. The reversal of 73194055936 is 63955049137.

The square root of 73194055936 is 270544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42330593536 + 30863462400 = 205744^2 + 175680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73194055931) 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, 160161820 + ... + 160162276.

Almost surely, 273194055936 is an apocalyptic number.

73194055936 is the 270544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73194055936

73194055936 is an abundant number, since it is smaller than the sum of its proper divisors (77292863003).

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

73194055936 is an frugal number, since it uses more digits than its factorization.

73194055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 73194055936 in words is "seventy-three billion, one hundred ninety-four million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 457 592 914 1184 1369 1828 2368 2738 3656 4736 5476 7312 9472 10952 14624 16909 21904 29248 33818 43808 58496 67636 87616 116992 135272 175232 208849 270544 350464 417698 541088 625633 835396 1082176 1251266 1670792 2164352 2502532 3341584 4328704 5005064 6683168 7727413 10010128 13366336 15454826 20020256 26732672 30909652 40040512 53465344 61819304 80081024 123638608 160162048 247277216 285914281 494554432 571828562 989108864 1143657124 1978217728 2287314248 4574628496 9149256992 18298513984 36597027968 73194055936