Search a number
-
+
156053611748164 = 2213628432
BaseRepresentation
bin100011011110111000010000…
…000110000001101101000100
3202110112120122111222100000011
4203132320100012001231010
5130423240244101420124
61311522012313000004
744604333655462414
oct4336702006015504
9673476574870004
10156053611748164
11457a5a685825a9
121560429a9b3004
13690ca3c000000
142a7706c4a6644
1513094a4d8e994
hex8dee10181b44

156053611748164 has 63 divisors (see below), whose sum is σ = 295955734012393. Its totient is φ = 71999409819792.

The previous prime is 156053611748137. The next prime is 156053611748189. The reversal of 156053611748164 is 461847116350651.

The square root of 156053611748164 is 12492142.

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

It can be written as a sum of positive squares in 3 ways, for example, as 133888272420100 + 22165339328064 = 11571010^2 + 4708008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 156053611748099 and 156053611748108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 54890470527 + ... + 54890473369.

Almost surely, 2156053611748164 is an apocalyptic number.

156053611748164 is the 12492142-nd square number.

It is an amenable number.

156053611748164 is a deficient number, since it is larger than the sum of its proper divisors (139902122264229).

156053611748164 is an frugal number, since it uses more digits than its factorization.

156053611748164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 156053611748164 in words is "one hundred fifty-six trillion, fifty-three billion, six hundred eleven million, seven hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 169 338 676 2197 2843 4394 5686 8788 11372 28561 36959 57122 73918 114244 147836 371293 480467 742586 960934 1485172 1921868 4826809 6246071 8082649 9653618 12492142 16165298 19307236 24984284 32330596 81198923 105074437 162397846 210148874 324795692 420297748 1055585999 1365967681 2111171998 2731935362 4222343996 5463870724 13722617987 17757579853 27445235974 35515159706 54890471948 71030319412 230848538089 461697076178 923394152356 3001030995157 6002061990314 12004123980628 39013402937041 78026805874082 156053611748164