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5375517457000 = 235361121372649
BaseRepresentation
bin100111000111001010111…
…0011101111101001101000
3201000220011001110110011011
41032032111303233221220
51201033024432111000
615233251214513304
71063240222323565
oct116162563575150
921026131413134
105375517457000
111792820512a49
12729989b05834
132ccba8453c72
141482681bd86c
1594c69aad2ba
hex4e395cefa68

5375517457000 has 128 divisors (see below), whose sum is σ = 12795635268000. Its totient is φ = 2113185024000.

The previous prime is 5375517456973. The next prime is 5375517457031. The reversal of 5375517457000 is 7547155735.

It can be written as a sum of positive squares in 16 ways, for example, as 3428370715396 + 1947146741604 = 1851586^2 + 1395402^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73956676 + ... + 74029324.

Almost surely, 25375517457000 is an apocalyptic number.

5375517457000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5375517457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397817634000).

5375517457000 is an abundant number, since it is smaller than the sum of its proper divisors (7420117811000).

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

5375517457000 is a wasteful number, since it uses less digits than its factorization.

5375517457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73944 (or 73930 counting only the distinct ones).

The product of its (nonzero) digits is 2572500, while the sum is 49.

The spelling of 5375517457000 in words is "five trillion, three hundred seventy-five billion, five hundred seventeen million, four hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1213 1220 1525 2426 2440 3050 4852 6065 6100 7625 9704 12130 12200 15250 24260 30325 30500 48520 60650 61000 72649 73993 121300 145298 147986 151625 242600 290596 295972 303250 363245 369965 581192 591944 606500 726490 739930 1213000 1452980 1479860 1816225 1849825 2905960 2959720 3632450 3699650 4431589 7264900 7399300 8863178 9081125 9249125 14529800 14798600 17726356 18162250 18498250 22157945 35452712 36324500 36996500 44315890 72649000 73993000 88123237 88631780 110789725 176246474 177263560 221579450 352492948 440616185 443158900 553948625 704985896 881232370 886317800 1107897250 1762464740 2203080925 2215794500 3524929480 4406161850 4431589000 5375517457 8812323700 10751034914 11015404625 17624647400 21502069828 22030809250 26877587285 43004139656 44061618500 53755174570 88123237000 107510349140 134387936425 215020698280 268775872850 537551745700 671939682125 1075103491400 1343879364250 2687758728500 5375517457000