Search a number
-
+
2381251480608 = 2537211137173683
BaseRepresentation
bin100010101001101101101…
…001100000110000100000
322102122102111202202100210
4202221231221200300200
5303003300334334413
65021533135214120
7334016426422500
oct42515551406040
98378374682323
102381251480608
11838979422060
12325604377340
13143721875550
1483378a5ba00
1541e1d9643c3
hex22a6da60c20

2381251480608 has 1152 divisors, whose sum is σ = 8794375317504. Its totient is φ = 554364518400.

The previous prime is 2381251480577. The next prime is 2381251480627. The reversal of 2381251480608 is 8060841521832.

It is a super-2 number, since 2×23812514806082 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3486458635 + ... + 3486459317.

It is an arithmetic number, because the mean of its divisors is an integer number (7634006352).

Almost surely, 22381251480608 is an apocalyptic number.

2381251480608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381251480608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397187658752).

2381251480608 is an abundant number, since it is smaller than the sum of its proper divisors (6413123836896).

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

2381251480608 is a wasteful number, since it uses less digits than its factorization.

2381251480608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2381251480608 in words is "two trillion, three hundred eighty-one billion, two hundred fifty-one million, four hundred eighty thousand, six hundred eight".