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557295042480 = 243511227929941
BaseRepresentation
bin10000001110000010101…
…11110111111110110000
31222021110211221102211220
420013001113313332300
533112320012324410
61104003502505040
755156201462461
oct10070127677660
91867424842756
10557295042480
111a5390582980
1290010b95180
1340725376b87
141cd8a752d68
15e76ab72070
hex81c15f7fb0

557295042480 has 160 divisors (see below), whose sum is σ = 1892975056128. Its totient is φ = 134506521600.

The previous prime is 557295042467. The next prime is 557295042517. The reversal of 557295042480 is 84240592755.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134310 + ... + 1064250.

Almost surely, 2557295042480 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 557295042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946487528064).

557295042480 is an abundant number, since it is smaller than the sum of its proper divisors (1335680013648).

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

557295042480 is a wasteful number, since it uses less digits than its factorization.

557295042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930195 (or 930189 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 557295042480 in words is "five hundred fifty-seven billion, two hundred ninety-five million, forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 227 240 264 330 440 454 528 660 681 880 908 1135 1320 1362 1816 2270 2497 2640 2724 3405 3632 4540 4994 5448 6810 7491 9080 9988 10896 12485 13620 14982 18160 19976 24970 27240 29964 37455 39952 49940 54480 59928 74910 99880 119856 149820 199760 299640 599280 929941 1859882 2789823 3719764 4649705 5579646 7439528 9299410 10229351 11159292 13949115 14879056 18598820 20458702 22318584 27898230 30688053 37197640 40917404 44637168 51146755 55796460 61376106 74395280 81834808 102293510 111592920 122752212 153440265 163669616 204587020 211096607 223185840 245504424 306880530 409174040 422193214 491008848 613761060 633289821 818348080 844386428 1055483035 1227522120 1266579642 1688772856 2110966070 2322062677 2455044240 2533159284 3166449105 3377545712 4221932140 4644125354 5066318568 6332898210 6966188031 8443864280 9288250708 10132637136 11610313385 12665796420 13932376062 16887728560 18576501416 23220626770 25331592840 27864752124 34830940155 37153002832 46441253540 50663185680 55729504248 69661880310 92882507080 111459008496 139323760620 185765014160 278647521240 557295042480