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60148543504 = 24721924612
BaseRepresentation
bin111000000001001000…
…011111000000010000
312202020212002121010111
4320001020133000100
51441141011343004
643344252011104
74226352120100
oct700110370020
9182225077114
1060148543504
1123566314a95
12b7a7760a94
13589746915a
142ca84bd200
1518707e5a04
hexe0121f010

60148543504 has 135 divisors (see below), whose sum is σ = 143385906141. Its totient is φ = 24368238720.

The previous prime is 60148543453. The next prime is 60148543519. The reversal of 60148543504 is 40534584106.

It is a happy number.

The square root of 60148543504 is 245252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19279877904 + 40868665600 = 138852^2 + 202160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130473834 + ... + 130474294.

Almost surely, 260148543504 is an apocalyptic number.

60148543504 is the 245252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60148543504

60148543504 is an abundant number, since it is smaller than the sum of its proper divisors (83237362637).

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

60148543504 is an equidigital number, since it uses as much as digits as its factorization.

60148543504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 60148543504 in words is "sixty billion, one hundred forty-eight million, five hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 461 532 722 784 922 931 1064 1444 1844 1862 2128 2527 2888 3227 3688 3724 5054 5776 6454 7376 7448 8759 10108 12908 14896 17518 17689 20216 22589 25816 35036 35378 40432 45178 51632 61313 70072 70756 90356 122626 140144 141512 166421 180712 212521 245252 283024 332842 361424 425042 429191 490504 665684 850084 858382 981008 1164947 1331368 1487647 1700168 1716764 2329894 2662736 2975294 3400336 3433528 4037899 4659788 5950588 6867056 8075798 8154629 9319576 10413529 11901176 16151596 16309258 18639152 20827058 23802352 28265293 32303192 32618516 41654116 56530586 64606384 65237032 76720081 83308232 113061172 130474064 153440162 166616464 197857051 226122344 306880324 395714102 452244688 537040567 613760648 791428204 1074081134 1227521296 1582856408 2148162268 3165712816 3759283969 4296324536 7518567938 8592649072 15037135876 30074271752 60148543504