Search a number
-
+
45156486199776 = 2537206332572541
BaseRepresentation
bin10100100010001110100000…
…10100011011100111100000
312220212220210011102201222120
422101013100110123213200
521404320440431343101
6240012334155104240
712340306552414440
oct1221072024334740
9186786704381876
1045156486199776
111342a838261666
125093767a42080
131c273139397c3
14b2182ac24120
15534955694b36
hex2911d051b9e0

45156486199776 has 96 divisors (see below), whose sum is σ = 135535129003008. Its totient is φ = 12895598876160.

The previous prime is 45156486199763. The next prime is 45156486199841. The reversal of 45156486199776 is 67799168465154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14899935 + ... + 17672606.

It is an arithmetic number, because the mean of its divisors is an integer number (1411824260448).

Almost surely, 245156486199776 is an apocalyptic number.

It is an amenable number.

45156486199776 is an abundant number, since it is smaller than the sum of its proper divisors (90378642803232).

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

45156486199776 is a wasteful number, since it uses less digits than its factorization.

45156486199776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32574624 (or 32574616 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 78.

The spelling of 45156486199776 in words is "forty-five trillion, one hundred fifty-six billion, four hundred eighty-six million, one hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2063 4126 6189 8252 12378 14441 16504 24756 28882 33008 43323 49512 57764 66016 86646 99024 115528 173292 198048 231056 346584 462112 693168 1386336 32572541 65145082 97717623 130290164 195435246 228007787 260580328 390870492 456015574 521160656 684023361 781740984 912031148 1042321312 1368046722 1563481968 1824062296 2736093444 3126963936 3648124592 5472186888 7296249184 10944373776 21888747552 67197152083 134394304166 201591456249 268788608332 403182912498 470380064581 537577216664 806365824996 940760129162 1075154433328 1411140193743 1612731649992 1881520258324 2150308866656 2822280387486 3225463299984 3763040516648 5644560774972 6450926599968 7526081033296 11289121549944 15052162066592 22578243099888 45156486199776