Search a number
-
+
153114632298738 = 232111066772495193
BaseRepresentation
bin100010110100000111000111…
…010001001010000011110010
3202002010121121222122012111200
4202310013013101022003302
5130032112231332024423
61301351520243352030
744152111216365165
oct4264070721120362
9662117558565450
10153114632298738
1144872607273710
121520a784682616
1367588564b1386
1429b4b057ddadc
1512a7ce278dd43
hex8b41c744a0f2

153114632298738 has 48 divisors (see below), whose sum is σ = 361941245449056. Its totient is φ = 46394023072320.

The previous prime is 153114632298689. The next prime is 153114632298743. The reversal of 153114632298738 is 837892236411351.

153114632298738 is a `hidden beast` number, since 1 + 5 + 3 + 11 + 463 + 2 + 2 + 98 + 73 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34135531 + ... + 38359662.

It is an arithmetic number, because the mean of its divisors is an integer number (7540442613522).

Almost surely, 2153114632298738 is an apocalyptic number.

153114632298738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

153114632298738 is an abundant number, since it is smaller than the sum of its proper divisors (208826613150318).

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

153114632298738 is a wasteful number, since it uses less digits than its factorization.

153114632298738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72505879 (or 72505876 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 153114632298738 in words is "one hundred fifty-three trillion, one hundred fourteen billion, six hundred thirty-two million, two hundred ninety-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10667 21334 32001 64002 96003 117337 192006 234674 352011 704022 1056033 2112066 72495193 144990386 217485579 434971158 652456737 797447123 1304913474 1594894246 2392341369 4784682738 7177024107 14354048214 773306223731 1546612447462 2319918671193 4639837342386 6959756013579 8506368461041 13919512027158 17012736922082 25519105383123 51038210766246 76557316149369 153114632298738