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45519929316 = 223104392
BaseRepresentation
bin101010011001001100…
…101111111111100100
311100111100210000000000
4222121030233333210
51221211100214231
632524522021300
73201012005121
oct523114577744
9140440700000
1045519929316
11183398a46a4
1289a4647830
1343a5853424
1422bb731748
1512b63e16e6
hexa9932ffe4

45519929316 has 99 divisors (see below), whose sum is σ = 119761944771. Its totient is φ = 15138746424.

The previous prime is 45519929293. The next prime is 45519929333. The reversal of 45519929316 is 61392991554.

The square root of 45519929316 is 213354.

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

45519929316 is a `hidden beast` number, since 4 + 5 + 519 + 92 + 9 + 31 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 103689825 + ... + 103690263.

Almost surely, 245519929316 is an apocalyptic number.

45519929316 is the 213354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45519929316

45519929316 is an abundant number, since it is smaller than the sum of its proper divisors (74242015455).

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

45519929316 is an frugal number, since it uses more digits than its factorization.

45519929316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 444 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 45519929316 in words is "forty-five billion, five hundred nineteen million, nine hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 439 486 729 878 972 1317 1458 1756 2187 2634 2916 3951 4374 5268 6561 7902 8748 11853 13122 15804 19683 23706 26244 35559 39366 47412 59049 71118 78732 106677 118098 142236 192721 213354 236196 320031 385442 426708 578163 640062 770884 960093 1156326 1280124 1734489 1920186 2312652 2880279 3468978 3840372 5203467 5760558 6937956 8640837 10406934 11521116 15610401 17281674 20813868 25922511 31220802 34563348 46831203 51845022 62441604 93662406 103690044 140493609 187324812 280987218 421480827 561974436 842961654 1264442481 1685923308 2528884962 3793327443 5057769924 7586654886 11379982329 15173309772 22759964658 45519929316