Search a number
-
+
19468133374968 = 23321811493871499
BaseRepresentation
bin1000110110100110001110…
…01011001001101111111000
32112221010122200120111212200
410123103013023021233320
510022431214120444333
6105223311554310200
74046345331220005
oct433230713115770
975833580514780
1019468133374968
1162264308365a3
12222507a588360
13ab2ab6154525
144b4396b328ac
1523b62680ec13
hex11b4c72c9bf8

19468133374968 has 48 divisors (see below), whose sum is σ = 53017499535000. Its totient is φ = 6453524871360.

The previous prime is 19468133374957. The next prime is 19468133374973. The reversal of 19468133374968 is 86947333186491.

19468133374968 is a `hidden beast` number, since 1 + 9 + 4 + 68 + 133 + 374 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19468133374896 and 19468133374905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 746922718 + ... + 746948781.

Almost surely, 219468133374968 is an apocalyptic number.

19468133374968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19468133374968 is an abundant number, since it is smaller than the sum of its proper divisors (33549366160032).

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

19468133374968 is a wasteful number, since it uses less digits than its factorization.

19468133374968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493871692 (or 1493871685 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 19468133374968 in words is "nineteen trillion, four hundred sixty-eight billion, one hundred thirty-three million, three hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 13032 1493871499 2987742998 4481614497 5975485996 8963228994 11950971992 13444843491 17926457988 26889686982 35852915976 53779373964 107558747928 270390741319 540781482638 811172223957 1081562965276 1622344447914 2163125930552 2433516671871 3244688895828 4867033343742 6489377791656 9734066687484 19468133374968