Search a number
-
+
2980153356480 = 26335344925157
BaseRepresentation
bin101011010111011110111…
…110110111000011000000
3101112220022000022022202000
4223113132332313003000
5342311323224401410
610201021421024000
7425210656366446
oct53273676670300
911486260268660
102980153356480
11a4996a971753
124016a73b5000
13188047b5ab61
14a4351130b96
15527c21bbdc0
hex2b5defb70c0

2980153356480 has 112 divisors (see below), whose sum is σ = 10513318815840. Its totient is φ = 794707559424.

The previous prime is 2980153356437. The next prime is 2980153356487. The reversal of 2980153356480 is 846533510892.

2980153356480 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 153 + 3 + 5 + 6 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2980153356487) 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, 172453939 + ... + 172471218.

Almost surely, 22980153356480 is an apocalyptic number.

2980153356480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2980153356480 is an abundant number, since it is smaller than the sum of its proper divisors (7533165459360).

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

2980153356480 is a wasteful number, since it uses less digits than its factorization.

2980153356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344925183 (or 344925167 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2980153356480 in words is "two trillion, nine hundred eighty billion, one hundred fifty-three million, three hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 344925157 689850314 1034775471 1379700628 1724625785 2069550942 2759401256 3104326413 3449251570 4139101884 5173877355 5518802512 6208652826 6898503140 8278203768 9312979239 10347754710 11037605024 12417305652 13797006280 15521632065 16556407536 18625958478 20695509420 22075210048 24834611304 27594012560 31043264130 33112815072 37251916956 41391018840 46564896195 49669222608 55188025120 62086528260 66225630144 74503833912 82782037680 93129792390 99338445216 110376050240 124173056520 149007667824 165564075360 186259584780 198676890432 248346113040 298015335648 331128150720 372519169560 496692226080 596030671296 745038339120 993384452160 1490076678240 2980153356480