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245414533545540 = 223252947014278457
BaseRepresentation
bin110111110011010000000110…
…000110000011111001000100
31012011221101210210200011202100
4313303100012012003321010
5224131332431041424130
62225541514050512100
7102456420631213422
oct6763200606037104
91164841723604670
10245414533545540
11712187a0274137
1223636b92895630
13a6c2650266908
1444861abd2a112
151d58bddc9bc60
hexdf3406183e44

245414533545540 has 72 divisors (see below), whose sum is σ = 770093881142040. Its totient is φ = 63187190244864.

The previous prime is 245414533545529. The next prime is 245414533545613. The reversal of 245414533545540 is 45545335414542.

245414533545540 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 1 + 4 + 5 + 33 + 54 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79332083804736 + 166082449740804 = 8906856^2 + 12887298^2 .

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, 23507134009 + ... + 23507144448.

It is an arithmetic number, because the mean of its divisors is an integer number (10695748349195).

Almost surely, 2245414533545540 is an apocalyptic number.

245414533545540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245414533545540 is an abundant number, since it is smaller than the sum of its proper divisors (524679347596500).

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

245414533545540 is a wasteful number, since it uses less digits than its factorization.

245414533545540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47014278501 (or 47014278496 counting only the distinct ones).

The product of its (nonzero) digits is 57600000, while the sum is 54.

The spelling of 245414533545540 in words is "two hundred forty-five trillion, four hundred fourteen billion, five hundred thirty-three million, five hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 47014278457 94028556914 141042835371 188057113828 235071392285 282085670742 423128506113 470142784570 564171341484 705214176855 846257012226 940285569140 1363414075253 1410428353710 1692514024452 2115642530565 2726828150506 2820856707420 4090242225759 4231285061130 5453656301012 6817070376265 8180484451518 8462570122260 12270726677277 13634140752530 16360968903036 20451211128795 24541453354554 27268281505060 40902422257590 49082906709108 61353633386385 81804844515180 122707266772770 245414533545540