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19530078816 = 253375498333
BaseRepresentation
bin10010001100000101…
…010101101001100000
31212102002021210120110
4102030011111221200
5304444200010231
612545541211320
71260654634203
oct221405255140
955362253513
1019530078816
118312247306
123950700b40
131ac3224671
14d33b1d93a
15794895046
hex48c155a60

19530078816 has 48 divisors (see below), whose sum is σ = 52652046384. Its totient is φ = 6334078464.

The previous prime is 19530078811. The next prime is 19530078863. The reversal of 19530078816 is 61887003591.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19530078811) 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 7 ways as a sum of consecutive naturals, for example, 2745615 + ... + 2752718.

It is an arithmetic number, because the mean of its divisors is an integer number (1096917633).

Almost surely, 219530078816 is an apocalyptic number.

19530078816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19530078816 is an abundant number, since it is smaller than the sum of its proper divisors (33121967568).

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

19530078816 is a wasteful number, since it uses less digits than its factorization.

19530078816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498383 (or 5498375 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 19530078816 in words is "nineteen billion, five hundred thirty million, seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 5498333 10996666 16494999 21993332 32989998 43986664 65979996 87973328 131959992 175946656 203438321 263919984 406876642 527839968 610314963 813753284 1220629926 1627506568 2441259852 3255013136 4882519704 6510026272 9765039408 19530078816