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123550553210432 = 2629277496748383
BaseRepresentation
bin11100000101111001011010…
…110101011111111001000000
3121012110022120111001012022012
4130011321122311133321000
5112143223013110213212
61114434201322232052
735011142612416025
oct3405713265377100
9535408514035265
10123550553210432
113640454a370637
1211a34b12355628
1353c29c863cbba
142271c4316354c
15e43c77beb922
hex705e5ad5fe40

123550553210432 has 112 divisors (see below), whose sum is σ = 254596909916160. Its totient is φ = 59416576407552.

The previous prime is 123550553210431. The next prime is 123550553210443. The reversal of 123550553210432 is 234012355055321.

It is a self number, because there is not a number n which added to its sum of digits gives 123550553210432.

It is not an unprimeable number, because it can be changed into a prime (123550553210431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553570113 + ... + 2553618495.

It is an arithmetic number, because the mean of its divisors is an integer number (2273186695680).

Almost surely, 2123550553210432 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 123550553210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127298454958080).

123550553210432 is an abundant number, since it is smaller than the sum of its proper divisors (131046356705728).

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

123550553210432 is a wasteful number, since it uses less digits than its factorization.

123550553210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53668 (or 53658 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 123550553210432 in words is "one hundred twenty-three trillion, five hundred fifty billion, five hundred fifty-three million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 277 464 554 928 1108 1856 2216 4432 4967 8033 8864 9934 16066 17728 19868 32132 39736 48383 64264 79472 96766 128528 144043 158944 193532 257056 288086 317888 387064 514112 576172 774128 1152344 1375859 1403107 1548256 2304688 2751718 2806214 3096512 4609376 5503436 5612428 9218752 11006872 11224856 13402091 22013744 22449712 26804182 39899911 44027488 44899424 53608364 79799822 88054976 89798848 107216728 159599644 214433456 240318361 319199288 388660639 428866912 480636722 638398576 777321278 857733824 961273444 1276797152 1554642556 1922546888 2553594304 3109285112 3845093776 6218570224 6969232469 7690187552 12437140448 13938464938 15380375104 24874280896 27876929876 55753859752 66568185997 111507719504 133136371994 223015439008 266272743988 446030878016 532545487976 1065090975952 1930477393913 2130181951904 3860954787826 4260363903808 7721909575652 15443819151304 30887638302608 61775276605216 123550553210432