Search a number
-
+
1916007948 = 2232311716853
BaseRepresentation
bin111001000110011…
…1111011000001100
311221112022021210100
41302030333120030
512410444223243
6514042411100
765323541001
oct16214773014
94845267710
101916007948
118a359a148
12455800a90
13246c49c1a
141426738a8
15b33210d3
hex7233f60c

1916007948 has 36 divisors (see below), whose sum is σ = 4999478848. Its totient is φ = 618066720.

The previous prime is 1916007901. The next prime is 1916007953. The reversal of 1916007948 is 8497006191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 857311 + ... + 859542.

Almost surely, 21916007948 is an apocalyptic number.

1916007948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1916007948 is an abundant number, since it is smaller than the sum of its proper divisors (3083470900).

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

1916007948 is a wasteful number, since it uses less digits than its factorization.

1916007948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716894 (or 1716889 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1916007948 is about 43772.2280447317. The cubic root of 1916007948 is about 1242.0309995608.

The spelling of 1916007948 in words is "one billion, nine hundred sixteen million, seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1716853 3433706 5150559 6867412 10301118 15451677 20602236 30903354 53222443 61806708 106444886 159667329 212889772 319334658 479001987 638669316 958003974 1916007948