Search a number
-
+
45236807788072 = 23179719117953451
BaseRepresentation
bin10100100100100100000111…
…10110111110011000101000
312221011121002220200012012011
422102102003312332120220
521412124440243204242
6240113300321325304
712346152160561315
oct1222220366763050
9187147086605164
1045236807788072
111346090574779a
1250a7243496834
131c31a7458a744
14b2568a591d0c
15536aa6ed8d17
hex292483dbe628

45236807788072 has 64 divisors (see below), whose sum is σ = 91209281264640. Its totient is φ = 20958139392000.

The previous prime is 45236807788063. The next prime is 45236807788163. The reversal of 45236807788072 is 27088770863254.

It is a super-4 number, since 4×452368077880724 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 45236807787989 and 45236807788007.

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, 6457054 + ... + 11496397.

It is an arithmetic number, because the mean of its divisors is an integer number (1425145019760).

Almost surely, 245236807788072 is an apocalyptic number.

It is an amenable number.

45236807788072 is an abundant number, since it is smaller than the sum of its proper divisors (45972473476568).

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

45236807788072 is a wasteful number, since it uses less digits than its factorization.

45236807788072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17953762 (or 17953758 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 67.

The spelling of 45236807788072 in words is "forty-five trillion, two hundred thirty-six billion, eight hundred seven million, seven hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 4 8 17 34 68 97 136 191 194 382 388 764 776 1528 1649 3247 3298 6494 6596 12988 13192 18527 25976 37054 74108 148216 314959 629918 1259836 2519672 17953451 35906902 71813804 143627608 305208667 610417334 1220834668 1741484747 2441669336 3429109141 3482969494 6858218282 6965938988 13716436564 13931877976 27432873128 29605240699 58294855397 59210481398 116589710794 118420962796 233179421588 236841925592 332623586677 466358843176 665247173354 1330494346708 2660988693416 5654600973509 11309201947018 22618403894036 45236807788072