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125352208840 = 235293118119259
BaseRepresentation
bin111010010111110010…
…0101110100111001000
3102222120000021222202111
41310233210232213020
54023210131140330
6133330324512104
712025226123545
oct1645744564710
9388500258674
10125352208840
1149186065911
122036424b634
13ba88cc3651
1460d20cbbcc
1533d9cd032a
hex1d2f92e9c8

125352208840 has 128 divisors (see below), whose sum is σ = 302859648000. Its totient is φ = 46588953600.

The previous prime is 125352208837. The next prime is 125352208847. The reversal of 125352208840 is 48802253521.

It is a super-2 number, since 2×1253522088402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 125352208793 and 125352208802.

It is not an unprimeable number, because it can be changed into a prime (125352208847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499131 + ... + 6518389.

It is an arithmetic number, because the mean of its divisors is an integer number (2366091000).

Almost surely, 2125352208840 is an apocalyptic number.

125352208840 is a gapful number since it is divisible by the number (10) 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 125352208840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151429824000).

125352208840 is an abundant number, since it is smaller than the sum of its proper divisors (177507439160).

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

125352208840 is a wasteful number, since it uses less digits than its factorization.

125352208840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511 (or 19507 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 125352208840 in words is "one hundred twenty-five billion, three hundred fifty-two million, two hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 181 232 248 290 310 362 580 620 724 899 905 1160 1240 1448 1798 1810 3596 3620 4495 5249 5611 7192 7240 8990 10498 11222 17980 19259 20996 22444 26245 28055 35960 38518 41992 44888 52490 56110 77036 96295 104980 112220 154072 162719 192590 209960 224440 325438 385180 558511 597029 650876 770360 813595 1117022 1194058 1301752 1627190 2234044 2388116 2792555 2985145 3254380 3485879 4468088 4776232 5585110 5970290 6508760 6971758 11170220 11940580 13943516 17313841 17429395 22340440 23881160 27887032 34627682 34858790 69255364 69717580 86569205 101090491 108062249 138510728 139435160 173138410 202180982 216124498 346276820 404361964 432248996 505452455 540311245 692553640 808723928 864497992 1010904910 1080622490 2021809820 2161244980 3133805221 4043619640 4322489960 6267610442 12535220884 15669026105 25070441768 31338052210 62676104420 125352208840