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19378289504 = 257247262949
BaseRepresentation
bin10010000011000010…
…010011101101100000
31212000111200002210002
4102003002103231200
5304141320231004
612522515555132
71254132512600
oct220302235540
955014602702
1019378289504
1182445a27a2
1239098bbaa8
131a9a94a1c2
14d1b8cac00
157863b061e
hex483093b60

19378289504 has 72 divisors (see below), whose sum is σ = 45324165600. Its totient is φ = 8128248576.

The previous prime is 19378289501. The next prime is 19378289527. The reversal of 19378289504 is 40598287391.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 19378289504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19378289501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57779 + ... + 205170.

It is an arithmetic number, because the mean of its divisors is an integer number (629502300).

Almost surely, 219378289504 is an apocalyptic number.

19378289504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19378289504 is an abundant number, since it is smaller than the sum of its proper divisors (25945876096).

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

19378289504 is a wasteful number, since it uses less digits than its factorization.

19378289504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263020 (or 263005 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 19378289504 in words is "nineteen billion, three hundred seventy-eight million, two hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 4606 5264 9212 10528 18424 36848 73696 262949 525898 1051796 1840643 2103592 3681286 4207184 7362572 8414368 12358603 12884501 14725144 24717206 25769002 29450288 49434412 51538004 58900576 86510221 98868824 103076008 173020442 197737648 206152016 346040884 395475296 412304032 605571547 692081768 1211143094 1384163536 2422286188 2768327072 4844572376 9689144752 19378289504