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1516556990 = 251324761313
BaseRepresentation
bin101101001100100…
…1101001010111110
310220200200002002102
41122121031022332
511101214310430
6410253025102
752403343644
oct13231151276
93820602072
101516556990
11709069793
12363a85192
131b226b500
141055b3194
158d21a345
hex5a64d2be

1516556990 has 96 divisors (see below), whose sum is σ = 3078124416. Its totient is φ = 537338880.

The previous prime is 1516556971. The next prime is 1516557017. The reversal of 1516556990 is 996556151.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4845074 + ... + 4845386.

It is an arithmetic number, because the mean of its divisors is an integer number (32063796).

Almost surely, 21516556990 is an apocalyptic number.

1516556990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1516556990 is an abundant number, since it is smaller than the sum of its proper divisors (1561567426).

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

1516556990 is a wasteful number, since it uses less digits than its factorization.

1516556990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 47.

The square root of 1516556990 is about 38942.9966746269. The cubic root of 1516556990 is about 1148.9106230706.

The spelling of 1516556990 in words is "one billion, five hundred sixteen million, five hundred fifty-six thousand, nine hundred ninety".

Divisors: 1 2 5 10 13 26 47 61 65 94 122 130 169 235 305 313 338 470 610 611 626 793 845 1222 1565 1586 1690 2867 3055 3130 3965 4069 5734 6110 7930 7943 8138 10309 14335 14711 15886 19093 20345 20618 28670 29422 37271 38186 39715 40690 51545 52897 73555 74542 79430 95465 103090 105794 147110 186355 190930 191243 248209 264485 372710 382486 484523 496418 528970 897371 956215 969046 1241045 1794742 1912430 2422615 2482090 2486159 3226717 4486855 4845230 4972318 6453434 8973710 11665823 12430795 16133585 23331646 24861590 32267170 58329115 116658230 151655699 303311398 758278495 1516556990