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4960728081360 = 24345765544457
BaseRepresentation
bin100100000110000001001…
…1011110110001111010000
3122120020111200001221210000
41020030002123312033100
51122234032342100420
614314532123010000
71021254315650412
oct110140233661720
918506450057700
104960728081360
111642918748857
12681509969900
1329ca43b0399c
14132159b829b2
158908eb07690
hex483026f63d0

4960728081360 has 100 divisors (see below), whose sum is σ = 17229343571748. Its totient is φ = 1322860819968.

The previous prime is 4960728081359. The next prime is 4960728081401. The reversal of 4960728081360 is 631808270694.

4960728081360 is a `hidden beast` number, since 4 + 9 + 60 + 72 + 80 + 81 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3862734267456 + 1097993813904 = 1965384^2 + 1047852^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4960728081297 and 4960728081306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 382765749 + ... + 382778708.

Almost surely, 24960728081360 is an apocalyptic number.

4960728081360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4960728081360 is an abundant number, since it is smaller than the sum of its proper divisors (12268615490388).

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

4960728081360 is a wasteful number, since it uses less digits than its factorization.

4960728081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765544482 (or 765544467 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4960728081360 in words is "four trillion, nine hundred sixty billion, seven hundred twenty-eight million, eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 765544457 1531088914 2296633371 3062177828 3827722285 4593266742 6124355656 6889900113 7655444570 9186533484 11483166855 12248711312 13779800226 15310889140 18373066968 20669700339 22966333710 27559600452 30621778280 34449500565 36746133936 41339400678 45932667420 55119200904 61243556560 62009101017 68899001130 82678801356 91865334840 103348501695 110238401808 124018202034 137798002260 165357602712 183730669680 206697003390 248036404068 275596004520 310045505085 330715205424 413394006780 496072808136 551192009040 620091010170 826788013560 992145616272 1240182020340 1653576027120 2480364040680 4960728081360