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148725088256 = 214192391999
BaseRepresentation
bin1000101010000010110…
…1001100000000000000
3112012212220111021202002
42022200231030000000
54414042110311011
6152153502443132
713513355251253
oct2124055140000
9465786437662
10148725088256
115808a487088
12249a78934a8
13110423b9904
1472ac32109a
153d06be7c3b
hex22a0b4c000

148725088256 has 120 divisors (see below), whose sum is σ = 314563200000. Its totient is φ = 70118866944.

The previous prime is 148725088247. The next prime is 148725088277. The reversal of 148725088256 is 652880527841.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74398745 + ... + 74400743.

It is an arithmetic number, because the mean of its divisors is an integer number (2621360000).

Almost surely, 2148725088256 is an apocalyptic number.

148725088256 is a gapful number since it is divisible by the number (16) 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 148725088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281600000).

148725088256 is an abundant number, since it is smaller than the sum of its proper divisors (165838111744).

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

148725088256 is an equidigital number, since it uses as much as digits as its factorization.

148725088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 56.

The spelling of 148725088256 in words is "one hundred forty-eight billion, seven hundred twenty-five million, eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 239 256 304 478 512 608 956 1024 1216 1912 1999 2048 2432 3824 3998 4096 4541 4864 7648 7996 8192 9082 9728 15296 15992 16384 18164 19456 30592 31984 36328 37981 38912 61184 63968 72656 75962 77824 122368 127936 145312 151924 155648 244736 255872 290624 303848 311296 477761 489472 511744 581248 607696 955522 978944 1023488 1162496 1215392 1911044 1957888 2046976 2324992 2430784 3822088 3915776 4093952 4649984 4861568 7644176 8187904 9077459 9299968 9723136 15288352 16375808 18154918 18599936 19446272 30576704 32751616 36309836 37199872 38892544 61153408 72619672 74399744 77785088 122306816 145239344 155570176 244613632 290478688 311140352 489227264 580957376 622280704 978454528 1161914752 1956909056 2323829504 3913818112 4647659008 7827636224 9295318016 18590636032 37181272064 74362544128 148725088256