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1053216378960 = 24358017547387
BaseRepresentation
bin11110101001110001001…
…01101001000001010000
310201200112110102120120120
433110320211221001100
5114223441343111320
62123501350110240
7136043453336634
oct17247045510120
93650473376516
101053216378960
11376737209079
1215015404b380
13784194c0285
1438d93dc6dc4
151c5e3692440
hexf538969050

1053216378960 has 80 divisors (see below), whose sum is σ = 3265383996096. Its totient is φ = 280822155264.

The previous prime is 1053216378913. The next prime is 1053216378961. The reversal of 1053216378960 is 698736123501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10532163789602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053216378961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1650387 + ... + 2197773.

Almost surely, 21053216378960 is an apocalyptic number.

1053216378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053216378960 is an abundant number, since it is smaller than the sum of its proper divisors (2212167617136).

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

1053216378960 is a wasteful number, since it uses less digits than its factorization.

1053216378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555420 (or 555414 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 1053216378960 in words is "one trillion, fifty-three billion, two hundred sixteen million, three hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8017 16034 24051 32068 40085 48102 64136 80170 96204 120255 128272 160340 192408 240510 320680 384816 481020 547387 641360 962040 1094774 1642161 1924080 2189548 2736935 3284322 4379096 5473870 6568644 8210805 8758192 10947740 13137288 16421610 21895480 26274576 32843220 43790960 65686440 131372880 4388401579 8776803158 13165204737 17553606316 21942007895 26330409474 35107212632 43884015790 52660818948 65826023685 70214425264 87768031580 105321637896 131652047370 175536063160 210643275792 263304094740 351072126320 526608189480 1053216378960