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2672388912 = 2431916317977
BaseRepresentation
bin1001111101001001…
…0110101100110000
320220020120102102010
42133102112230300
520433112421122
61121102322520
7123136634214
oct23722265460
96806512363
102672388912
111151548386
12626b89440
13337869c1b
141b4cc6944
1510992de0c
hex9f496b30

2672388912 has 80 divisors (see below), whose sum is σ = 7312012160. Its totient is φ = 838688256.

The previous prime is 2672388911. The next prime is 2672388919. The reversal of 2672388912 is 2198832762.

2672388912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2672388911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139668 + ... + 157644.

It is an arithmetic number, because the mean of its divisors is an integer number (91400152).

Almost surely, 22672388912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672388912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656006080).

2672388912 is an abundant number, since it is smaller than the sum of its proper divisors (4639623248).

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

2672388912 is a wasteful number, since it uses less digits than its factorization.

2672388912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18170 (or 18164 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 2672388912 is about 51695.1536606673. The cubic root of 2672388912 is about 1387.7137358911.

The spelling of 2672388912 in words is "two billion, six hundred seventy-two million, three hundred eighty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 456 489 652 912 978 1304 1956 2608 3097 3912 6194 7824 9291 12388 17977 18582 24776 35954 37164 49552 53931 71908 74328 107862 143816 148656 215724 287632 341563 431448 683126 862896 1024689 1366252 2049378 2732504 2930251 4098756 5465008 5860502 8197512 8790753 11721004 16395024 17581506 23442008 35163012 46884016 55674769 70326024 111349538 140652048 167024307 222699076 334048614 445398152 668097228 890796304 1336194456 2672388912