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5126622840 = 233457920029
BaseRepresentation
bin1001100011001001…
…00000111001111000
3111020021122102110000
410301210200321320
540444403412330
62204413153000
7241020401163
oct46144407170
914207572400
105126622840
1121a0932689
12bb0a8b760
13639164151
14368c22ada
15200119560
hex131920e78

5126622840 has 160 divisors (see below), whose sum is σ = 17450136000. Its totient is φ = 1349726976.

The previous prime is 5126622803. The next prime is 5126622859. The reversal of 5126622840 is 482266215.

It is a happy number.

5126622840 is a `hidden beast` number, since 5 + 1 + 26 + 622 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5126622795 and 5126622804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245946 + ... + 265974.

It is an arithmetic number, because the mean of its divisors is an integer number (109063350).

Almost surely, 25126622840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5126622840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725068000).

5126622840 is an abundant number, since it is smaller than the sum of its proper divisors (12323513160).

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

5126622840 is a wasteful number, since it uses less digits than its factorization.

5126622840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5126622840 is about 71600.4388254709. The cubic root of 5126622840 is about 1724.2905816326.

The spelling of 5126622840 in words is "five billion, one hundred twenty-six million, six hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 395 405 474 540 632 648 711 790 810 948 1080 1185 1422 1580 1620 1896 2133 2370 2844 3160 3240 3555 4266 4740 5688 6399 7110 8532 9480 10665 12798 14220 17064 20029 21330 25596 28440 31995 40058 42660 51192 60087 63990 80116 85320 100145 120174 127980 160232 180261 200290 240348 255960 300435 360522 400580 480696 540783 600870 721044 801160 901305 1081566 1201740 1442088 1582291 1622349 1802610 2163132 2403480 2703915 3164582 3244698 3605220 4326264 4746873 5407830 6329164 6489396 7210440 7911455 8111745 9493746 10815660 12658328 12978792 14240619 15822910 16223490 18987492 21631320 23734365 28481238 31645820 32446980 37974984 42721857 47468730 56962476 63291640 64893960 71203095 85443714 94937460 113924952 128165571 142406190 170887428 189874920 213609285 256331142 284812380 341774856 427218570 512662284 569624760 640827855 854437140 1025324568 1281655710 1708874280 2563311420 5126622840