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1913712516 = 22322323172
BaseRepresentation
bin111001000010000…
…1110111110000100
311221100222200001100
41302010032332010
512404402300031
6513521300100
765265200532
oct16204167604
94840880040
101913712516
118a22715a1
12454a94630
13246625191
14142237152
15b301ade6
hex7210ef84

1913712516 has 81 divisors (see below), whose sum is σ = 5072910661. Its totient is φ = 608244384.

The previous prime is 1913712503. The next prime is 1913712529. The reversal of 1913712516 is 6152173191.

It is a happy number.

The square root of 1913712516 is 43746.

It is a perfect power (a square), and thus also a powerful number.

1913712516 is a `hidden beast` number, since 1 + 9 + 137 + 1 + 2 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (1913712503) and next prime (1913712529).

It can be written as a sum of positive squares in only one way, i.e., 107122500 + 1806590016 = 10350^2 + 42504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6036790 + ... + 6037106.

Almost surely, 21913712516 is an apocalyptic number.

1913712516 is the 43746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913712516

1913712516 is an abundant number, since it is smaller than the sum of its proper divisors (3159198145).

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

1913712516 is a wasteful number, since it uses less digits than its factorization.

1913712516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 345 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The cubic root of 1913712516 is about 1241.5348052055.

Multiplying 1913712516 by its sum of digits (36), we get a square (68893650576 = 2624762).

1913712516 divided by its sum of digits (36) gives a square (53158681 = 72912).

The spelling of 1913712516 in words is "one billion, nine hundred thirteen million, seven hundred twelve thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 317 414 529 634 828 951 1058 1268 1587 1902 2116 2853 3174 3804 4761 5706 6348 7291 9522 11412 14582 19044 21873 29164 43746 65619 87492 100489 131238 167693 200978 262476 301467 335386 401956 503079 602934 670772 904401 1006158 1205868 1509237 1808802 2012316 2311247 3018474 3617604 4622494 6036948 6933741 9244988 13867482 20801223 27734964 41602446 53158681 83204892 106317362 159476043 212634724 318952086 478428129 637904172 956856258 1913712516