Search a number
-
+
153364353645312 = 2832124953294147
BaseRepresentation
bin100010110111101111101011…
…110100011111101100000000
3202010000111012111101222222200
4202313233223310133230000
5130100210144013122222
61302102340022433200
744206131436663245
oct4267575364375400
9663014174358880
10153364353645312
1144959503483477
121524b057892800
136776272907784
1429c2c351d75cc
1512ae55adb3eac
hex8b7bebd1fb00

153364353645312 has 108 divisors (see below), whose sum is σ = 442541281455000. Its totient is φ = 51080520351744.

The previous prime is 153364353645281. The next prime is 153364353645487. The reversal of 153364353645312 is 213546353463351.

It is a happy number.

153364353645312 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 6 + 43 + 5 + 3 + 64 + 531 + 2 = 666.

153364353645312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23769378 + ... + 29524769.

Almost surely, 2153364353645312 is an apocalyptic number.

153364353645312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153364353645312 is an abundant number, since it is smaller than the sum of its proper divisors (289176927809688).

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

153364353645312 is a wasteful number, since it uses less digits than its factorization.

153364353645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53295418 (or 53295401 counting only the distinct ones).

The product of its digits is 34992000, while the sum is 54.

The spelling of 153364353645312 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, three hundred fifty-three million, six hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1249 2304 2498 3747 4996 7494 9992 11241 14988 19984 22482 29976 39968 44964 59952 79936 89928 119904 159872 179856 239808 319744 359712 479616 719424 959232 1438848 2877696 53294147 106588294 159882441 213176588 319764882 426353176 479647323 639529764 852706352 959294646 1279059528 1705412704 1918589292 2558119056 3410825408 3837178584 5116238112 6821650816 7674357168 10232476224 13643301632 15348714336 20464952448 30697428672 40929904896 61394857344 66564389603 122789714688 133128779206 199693168809 266257558412 399386337618 532515116824 599079506427 798772675236 1065030233648 1198159012854 1597545350472 2130060467296 2396318025708 3195090700944 4260120934592 4792636051416 6390181401888 8520241869184 9585272102832 12780362803776 17040483738368 19170544205664 25560725607552 38341088411328 51121451215104 76682176822656 153364353645312