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1913147964 = 2233721327809
BaseRepresentation
bin111001000001000…
…0101001000111100
311221022220222122000
41302002011020330
512404231213324
6513501222300
765260326600
oct16202051074
94838828560
101913147964
118a1a16422
12454861990
13246488220
1414212b500
15b2e589c9
hex7208523c

1913147964 has 144 divisors (see below), whose sum is σ = 6213866400. Its totient is φ = 504548352.

The previous prime is 1913147933. The next prime is 1913147987. The reversal of 1913147964 is 4697413191.

It is a happy number.

1913147964 is a `hidden beast` number, since 1 + 91 + 31 + 479 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54892 + ... + 82700.

It is an arithmetic number, because the mean of its divisors is an integer number (43151850).

Almost surely, 21913147964 is an apocalyptic number.

1913147964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913147964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106933200).

1913147964 is an abundant number, since it is smaller than the sum of its proper divisors (4300718436).

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

1913147964 is a wasteful number, since it uses less digits than its factorization.

1913147964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27849 (or 27834 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1913147964 is about 43739.5469112335. The cubic root of 1913147964 is about 1241.4127074703.

The spelling of 1913147964 in words is "one billion, nine hundred thirteen million, one hundred forty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 27809 34398 55618 68796 83427 111236 166854 194663 250281 333708 361517 389326 500562 583989 723034 750843 778652 1001124 1084551 1167978 1362641 1446068 1501686 1751967 2169102 2335956 2530619 2725282 3003372 3253653 3503934 4087923 4338204 5061238 5255901 5450564 6507306 7007868 7591857 8175846 9760959 10122476 10511802 12263769 13014612 15183714 16351692 17714333 19521918 21023604 22775571 24527538 30367428 35428666 36791307 39043836 45551142 49055076 53142999 68326713 70857332 73582614 91102284 106285998 136653426 147165228 159428997 212571996 273306852 318857994 478286991 637715988 956573982 1913147964