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556764747072 = 263137155913577
BaseRepresentation
bin10000001101000011100…
…00111101010101000000
31222020002220002122022020
420012201300331111000
533110223233401242
61103435120441440
755140102156642
oct10064160752500
91866086078266
10556764747072
111a5139204106
128baa3479280
134066c545501
141cd3a152892
15e7393226ec
hex81a1c3d540

556764747072 has 112 divisors (see below), whose sum is σ = 1484920494720. Its totient is φ = 184101855232.

The previous prime is 556764747023. The next prime is 556764747089. The reversal of 556764747072 is 270747467655.

It is a junction number, because it is equal to n+sod(n) for n = 556764746997 and 556764747015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41001148 + ... + 41014724.

Almost surely, 2556764747072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556764747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742460247360).

556764747072 is an abundant number, since it is smaller than the sum of its proper divisors (928155747648).

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

556764747072 is a wasteful number, since it uses less digits than its factorization.

556764747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 60.

The spelling of 556764747072 in words is "five hundred fifty-six billion, seven hundred sixty-four million, seven hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1559 1644 2192 3118 3288 4384 4677 6236 6576 8768 9354 12472 13152 13577 18708 24944 26304 27154 37416 40731 49888 54308 74832 81462 99776 108616 149664 162924 213583 217232 299328 325848 427166 434464 640749 651696 854332 868928 1281498 1303392 1708664 1860049 2562996 2606784 3417328 3720098 5125992 5580147 6834656 7440196 10251984 11160294 13669312 14880392 20503968 21166543 22320588 29760784 41007936 42333086 44641176 59521568 63499629 84666172 89282352 119043136 126999258 169332344 178564704 253998516 338664688 357129408 507997032 677329376 1015994064 1354658752 2031988128 2899816391 4063976256 5799632782 8699449173 11599265564 17398898346 23198531128 34797796692 46397062256 69595593384 92794124512 139191186768 185588249024 278382373536 556764747072