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61440385545 = 3357116598969
BaseRepresentation
bin111001001110001000…
…011110001000001001
312212120212220222021000
4321032020132020021
52001312214314140
644120400405213
74303356442320
oct711610361011
9185525828230
1061440385545
1124069550040
12baa8316809
135a41ca8b26
142d8bcb90b7
1518e8e23a30
hexe4e21e209

61440385545 has 128 divisors (see below), whose sum is σ = 136401408000. Its totient is φ = 25492078080.

The previous prime is 61440385529. The next prime is 61440385637. The reversal of 61440385545 is 54558304416.

61440385545 is a `hidden beast` number, since 61 + 4 + 4 + 0 + 38 + 554 + 5 = 666.

It is not a de Polignac number, because 61440385545 - 24 = 61440385529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 61440385545.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6845821 + ... + 6854789.

It is an arithmetic number, because the mean of its divisors is an integer number (1065636000).

Almost surely, 261440385545 is an apocalyptic number.

It is an amenable number.

61440385545 is an abundant number, since it is smaller than the sum of its proper divisors (74961022455).

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

61440385545 is a wasteful number, since it uses less digits than its factorization.

61440385545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

It can be divided in two parts, 61440 and 385545, that added together give a triangular number (446985 = T945).

The spelling of 61440385545 in words is "sixty-one billion, four hundred forty million, three hundred eighty-five thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 659 693 945 1155 1485 1977 2079 3295 3465 4613 5931 7249 8969 9885 10395 13839 17793 21747 23065 26907 29655 36245 41517 44845 50743 62783 65241 69195 80721 88965 98659 108735 124551 134535 152229 188349 195723 207585 242163 253715 295977 313915 326205 403605 456687 493295 565047 622755 690613 761145 887931 941745 978615 1210815 1370061 1479885 1695141 2071839 2283435 2663793 2825235 3453065 4439655 5910571 6215517 6850305 8475705 10359195 13318965 17731713 18646551 29552855 31077585 41373997 53195139 65016281 88658565 93232755 124121991 159585417 195048843 206869985 265975695 325081405 372365973 455113967 585146529 620609955 797927085 975244215 1117097919 1365341901 1755439587 1861829865 2275569835 2925732645 4096025703 5585489595 6826709505 8777197935 12288077109 20480128515 61440385545