Search a number
-
+
1373645031381 = 33723074098269
BaseRepresentation
bin10011111111010011100…
…111111100011111010101
311212022121200110200011000
4103333103213330133111
5140001211112001011
62531013244133513
7201146130054600
oct23772347743725
94768550420130
101373645031381
1148a61789a297
121a227ab37299
139c6c375a89c
144a6b0313337
1525ae9540356
hex13fd39fc7d5

1373645031381 has 96 divisors (see below), whose sum is σ = 2381085168000. Its totient is φ = 780375907584.

The previous prime is 1373645031377. The next prime is 1373645031397. The reversal of 1373645031381 is 1831305463731.

1373645031381 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 6 + 4 + 503 + 138 + 1 = 666.

It is not a de Polignac number, because 1373645031381 - 22 = 1373645031377 is a prime.

It is a super-2 number, since 2×13736450313812 (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 (1373645031481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166115715 + ... + 166123983.

It is an arithmetic number, because the mean of its divisors is an integer number (24802970500).

Almost surely, 21373645031381 is an apocalyptic number.

It is an amenable number.

1373645031381 is a deficient number, since it is larger than the sum of its proper divisors (1007440136619).

1373645031381 is a wasteful number, since it uses less digits than its factorization.

1373645031381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1373645031381 in words is "one trillion, three hundred seventy-three billion, six hundred forty-five million, thirty-one thousand, three hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 307 409 441 921 1227 1323 2149 2763 2863 3681 6447 8269 8289 8589 11043 15043 19341 20041 24807 25767 45129 57883 58023 60123 74421 77301 125563 135387 173649 180369 223263 376689 405181 406161 520947 541107 878941 1130067 1215543 1562841 2538583 2636823 3382021 3390201 3646629 6152587 7615749 7910469 10146063 10939887 17770081 18457761 22847247 23674147 23731407 30438189 53310243 55373283 68541741 71022441 91314567 124390567 159930729 165719029 166119849 213067323 373171701 479792187 497157087 639201969 1038280447 1119515103 1491471261 3114841341 3358545309 4474413783 7267963129 9344524023 21803889387 28033572069 50875741903 65411668161 152627225709 196235004483 457881677127 1373645031381