Search a number
-
+
2077482368352 = 25337358017269
BaseRepresentation
bin11110001110110011100…
…110010011110101100000
321100121100022120222121110
4132032303212103311200
5233014140441241402
64230214321023320
7303043643524506
oct36166346236540
97317308528543
102077482368352
11731067700a56
12296768784b40
13120ba0c05601
147279d108676
153909043b56c
hex1e3b3993d60

2077482368352 has 48 divisors (see below), whose sum is σ = 5468011662960. Its totient is φ = 690637558272.

The previous prime is 2077482368333. The next prime is 2077482368359. The reversal of 2077482368352 is 2538632847702.

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

It is a super-2 number, since 2×20774823683522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2077482368292 and 2077482368301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077482368359) 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, 28972827 + ... + 29044442.

It is an arithmetic number, because the mean of its divisors is an integer number (113916909645).

Almost surely, 22077482368352 is an apocalyptic number.

It is an amenable number.

2077482368352 is an abundant number, since it is smaller than the sum of its proper divisors (3390529294608).

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

2077482368352 is a wasteful number, since it uses less digits than its factorization.

2077482368352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58017655 (or 58017647 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 2077482368352 in words is "two trillion, seventy-seven billion, four hundred eighty-two million, three hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 373 746 1119 1492 2238 2984 4476 5968 8952 11936 17904 35808 58017269 116034538 174051807 232069076 348103614 464138152 696207228 928276304 1392414456 1856552608 2784828912 5569657824 21640441337 43280882674 64921324011 86561765348 129842648022 173123530696 259685296044 346247061392 519370592088 692494122784 1038741184176 2077482368352