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1921768464 = 243711247269
BaseRepresentation
bin111001010001011…
…1101110000010000
311221221010221201210
41302202331300100
512413433042324
6514410100120
765423522340
oct16242756020
94857127653
101921768464
118a6874100
1245771a640
132481b5c05
14143332d20
15b3aacd29
hex728bdc10

1921768464 has 120 divisors (see below), whose sum is σ = 6236614720. Its totient is φ = 499150080.

The previous prime is 1921768447. The next prime is 1921768487. The reversal of 1921768464 is 4648671291.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17022 + ... + 64290.

Almost surely, 21921768464 is an apocalyptic number.

1921768464 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 1921768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118307360).

1921768464 is an abundant number, since it is smaller than the sum of its proper divisors (4314846256).

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

1921768464 is a wasteful number, since it uses less digits than its factorization.

1921768464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47309 (or 47292 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 1921768464 is about 43837.9796979742. The cubic root of 1921768464 is about 1243.2744845050.

The spelling of 1921768464 in words is "one billion, nine hundred twenty-one million, seven hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 40656 47269 94538 141807 189076 283614 330883 378152 519959 567228 661766 756304 992649 1039918 1134456 1323532 1559877 1985298 2079836 2268912 2647064 3119754 3639713 3970596 4159672 5294128 5719549 6239508 7279426 7941192 8319344 10919139 11439098 12479016 14558852 15882384 17158647 21838278 22878196 24958032 29117704 34317294 40036843 43676556 45756392 58235408 68634588 80073686 87353112 91512784 120110529 137269176 160147372 174706224 240221058 274538352 320294744 480442116 640589488 960884232 1921768464