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1509997068 = 2232241269647
BaseRepresentation
bin101101000000000…
…1011101000001100
310220020022210120100
41122000023220030
511043024401233
6405500251100
752263522546
oct13200135014
93806283510
101509997068
11705399168
12361840a90
131b0ab26b8
14104786696
158c871813
hex5a00ba0c

1509997068 has 72 divisors (see below), whose sum is σ = 3852969120. Its totient is φ = 498608640.

The previous prime is 1509997061. The next prime is 1509997079. The reversal of 1509997068 is 8607999051.

1509997068 is a `hidden beast` number, since 1 + 509 + 9 + 9 + 70 + 68 = 666.

It is a super-2 number, since 2×15099970682 = 4560182290737193248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1509997061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2333521 + ... + 2334167.

It is an arithmetic number, because the mean of its divisors is an integer number (53513460).

Almost surely, 21509997068 is an apocalyptic number.

1509997068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1509997068 is an abundant number, since it is smaller than the sum of its proper divisors (2342972052).

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

1509997068 is a wasteful number, since it uses less digits than its factorization.

1509997068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 1509997068 is about 38858.6807290212. The cubic root of 1509997068 is about 1147.2516773666.

The spelling of 1509997068 in words is "one billion, five hundred nine million, nine hundred ninety-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 241 269 482 538 647 723 807 964 1076 1294 1446 1614 1941 2169 2421 2588 2892 3228 3882 4338 4842 5823 7764 8676 9684 11646 23292 64829 129658 155927 174043 194487 259316 311854 348086 388974 467781 522129 583461 623708 696172 777948 935562 1044258 1166922 1403343 1566387 1871124 2088516 2333844 2806686 3132774 5613372 6265548 41944363 83888726 125833089 167777452 251666178 377499267 503332356 754998534 1509997068