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2964441469352 = 23114121091131627
BaseRepresentation
bin101011001000110110011…
…110110001000110101000
3101111101202000121202111112
4223020312132301012220
5342032134004004402
610145502352445452
7424113423506366
oct53106636610650
911441660552445
102964441469352
11a43237a21370
123ba641549888
1318671299cc1c
14a36a055a636
15521a2b37e52
hex2b2367b11a8

2964441469352 has 192 divisors, whose sum is σ = 6331545316800. Its totient is φ = 1290227097600.

The previous prime is 2964441469349. The next prime is 2964441469373. The reversal of 2964441469352 is 2539641444692.

It is a junction number, because it is equal to n+sod(n) for n = 2964441469291 and 2964441469300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822028363 + ... + 1822029989.

It is an arithmetic number, because the mean of its divisors is an integer number (32976798525).

Almost surely, 22964441469352 is an apocalyptic number.

2964441469352 is a gapful number since it is divisible by the number (22) 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 2964441469352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165772658400).

2964441469352 is an abundant number, since it is smaller than the sum of its proper divisors (3367103847448).

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

2964441469352 is a wasteful number, since it uses less digits than its factorization.

2964441469352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1903 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 59.

The spelling of 2964441469352 in words is "two trillion, nine hundred sixty-four billion, four hundred forty-one million, four hundred sixty-nine thousand, three hundred fifty-two".