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1338320023650 = 232523780379581
BaseRepresentation
bin10011011110011010000…
…101101111000001100010
311201221102211020100102100
4103132122011233001202
5133411334411224100
62502452110431230
7165455550335061
oct23363205570142
94657384210370
101338320023650
1147663a844125
12197460802516
13992840c154c
1448abc9a41d8
1524c2d1b1400
hex1379a16f062

1338320023650 has 72 divisors (see below), whose sum is σ = 3692798756244. Its totient is φ = 347239785600.

The previous prime is 1338320023643. The next prime is 1338320023721. The reversal of 1338320023650 is 563200238331.

1338320023650 is a `hidden beast` number, since 1 + 3 + 383 + 200 + 23 + 6 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 582625363401 + 755694660249 = 763299^2 + 869307^2 .

It is a super-2 number, since 2×13383200236502 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40173141 + ... + 40206440.

Almost surely, 21338320023650 is an apocalyptic number.

1338320023650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338320023650 is an abundant number, since it is smaller than the sum of its proper divisors (2354478732594).

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

1338320023650 is a wasteful number, since it uses less digits than its factorization.

1338320023650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80379636 (or 80379628 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1338320023650 in words is "one trillion, three hundred thirty-eight billion, three hundred twenty million, twenty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 80379581 160759162 241138743 401897905 482277486 723416229 803795810 1205693715 1446832458 2009489525 2411387430 2974044497 3617081145 4018979050 5948088994 6028468575 7234162290 8922133491 12056937150 14870222485 17844266982 18085405725 26766400473 29740444970 36170811450 44610667455 53532800946 74351112425 89221334910 133832002365 148702224850 223053337275 267664004730 446106674550 669160011825 1338320023650