Search a number
-
+
122076337632 = 2531429889873
BaseRepresentation
bin111000110110001010…
…0010001010111100000
3102200002201011111021020
41301230110101113200
54000003020301012
6132025303325440
711551110514614
oct1615424212740
9380081144236
10122076337632
1147854a01337
121b7ab150880
13b68640bb12
145ca0dd3344
1532973e6a8c
hex1c6c5115e0

122076337632 has 48 divisors (see below), whose sum is σ = 320674994640. Its totient is φ = 40663590912.

The previous prime is 122076337631. The next prime is 122076337637. The reversal of 122076337632 is 236733670221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122076337631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307753 + ... + 582120.

It is an arithmetic number, because the mean of its divisors is an integer number (6680729055).

Almost surely, 2122076337632 is an apocalyptic number.

122076337632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122076337632 is an abundant number, since it is smaller than the sum of its proper divisors (198598657008).

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

122076337632 is a wasteful number, since it uses less digits than its factorization.

122076337632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891315 (or 891307 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 122076337632 in words is "one hundred twenty-two billion, seventy-six million, three hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1429 2858 4287 5716 8574 11432 17148 22864 34296 45728 68592 137184 889873 1779746 2669619 3559492 5339238 7118984 10678476 14237968 21356952 28475936 42713904 85427808 1271628517 2543257034 3814885551 5086514068 7629771102 10173028136 15259542204 20346056272 30519084408 40692112544 61038168816 122076337632