Search a number
-
+
125017885728 = 253522970207
BaseRepresentation
bin111010001101110100…
…1011000110000100000
3102221200201012121200000
41310123221120300200
54022014034320403
6133233223100000
712014026331601
oct1643351306040
9387621177600
10125017885728
1149024378a1a
12202902a1600
13ba34968c18
14609d941da8
1533ba7917a3
hex1d1ba58c20

125017885728 has 144 divisors (see below), whose sum is σ = 370302266880. Its totient is φ = 41490061056.

The previous prime is 125017885717. The next prime is 125017885739. The reversal of 125017885728 is 827588710521.

125017885728 is a `hidden beast` number, since 1 + 2 + 50 + 17 + 8 + 8 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (125017885717) and next prime (125017885739).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745601 + ... + 1815807.

It is an arithmetic number, because the mean of its divisors is an integer number (2571543520).

Almost surely, 2125017885728 is an apocalyptic number.

125017885728 is a gapful number since it is divisible by the number (18) 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 125017885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185151133440).

125017885728 is an abundant number, since it is smaller than the sum of its proper divisors (245284381152).

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

125017885728 is an equidigital number, since it uses as much as digits as its factorization.

125017885728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70461 (or 70441 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 54.

The spelling of 125017885728 in words is "one hundred twenty-five billion, seventeen million, eight hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 229 243 288 324 432 458 486 648 687 864 916 972 1296 1374 1832 1944 2061 2592 2748 3664 3888 4122 5496 6183 7328 7776 8244 10992 12366 16488 18549 21984 24732 32976 37098 49464 55647 65952 70207 74196 98928 111294 140414 148392 197856 210621 222588 280828 296784 421242 445176 561656 593568 631863 842484 890352 1123312 1263726 1684968 1780704 1895589 2246624 2527452 3369936 3791178 5054904 5686767 6739872 7582356 10109808 11373534 15164712 16077403 17060301 20219616 22747068 30329424 32154806 34120602 45494136 48232209 60658848 64309612 68241204 90988272 96464418 128619224 136482408 144696627 181976544 192928836 257238448 272964816 289393254 385857672 434089881 514476896 545929632 578786508 771715344 868179762 1157573016 1302269643 1543430688 1736359524 2315146032 2604539286 3472719048 3906808929 4630292064 5209078572 6945438096 7813617858 10418157144 13890876192 15627235716 20836314288 31254471432 41672628576 62508942864 125017885728