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1963119072 = 253187910883
BaseRepresentation
bin111010100000010…
…1101000111100000
312001210221210002210
41311000231013200
513010024302242
6522444242120
766435144135
oct16500550740
95053853083
101963119072
11918147462
12469540340
13253933425
14148a1858c
15b7529d9c
hex7502d1e0

1963119072 has 48 divisors (see below), whose sum is σ = 5156403840. Its totient is φ = 653964672.

The previous prime is 1963119061. The next prime is 1963119079. The reversal of 1963119072 is 2709113691.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1963119072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963119079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174943 + ... + 185825.

It is an arithmetic number, because the mean of its divisors is an integer number (107425080).

Almost surely, 21963119072 is an apocalyptic number.

1963119072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1963119072 is an abundant number, since it is smaller than the sum of its proper divisors (3193284768).

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

1963119072 is a wasteful number, since it uses less digits than its factorization.

1963119072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 1963119072 is about 44307.0995665480. The cubic root of 1963119072 is about 1252.1284424226.

The spelling of 1963119072 in words is "one billion, nine hundred sixty-three million, one hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1879 3758 5637 7516 10883 11274 15032 21766 22548 30064 32649 43532 45096 60128 65298 87064 90192 130596 174128 180384 261192 348256 522384 1044768 20449157 40898314 61347471 81796628 122694942 163593256 245389884 327186512 490779768 654373024 981559536 1963119072