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1970811648 = 2835132437
BaseRepresentation
bin111010101111000…
…0011001100000000
312002100102121100000
41311132003030000
513014011433043
6523321200000
766560423361
oct16536031400
95070377300
101970811648
11921520a63
12470030000
132553c7950
14149a5bb68
15b80492d3
hex75783300

1970811648 has 216 divisors, whose sum is σ = 6348688528. Its totient is φ = 606154752.

The previous prime is 1970811641. The next prime is 1970811671. The reversal of 1970811648 is 8461180791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (1970811641) 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 23 ways as a sum of consecutive naturals, for example, 807486 + ... + 809922.

Almost surely, 21970811648 is an apocalyptic number.

1970811648 is a gapful number since it is divisible by the number (18) 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 1970811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174344264).

1970811648 is an abundant number, since it is smaller than the sum of its proper divisors (4377876880).

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

1970811648 is an equidigital number, since it uses as much as digits as its factorization.

1970811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1970811648 is about 44393.8244353874. The cubic root of 1970811648 is about 1253.7618191897.

The spelling of 1970811648 in words is "one billion, nine hundred seventy million, eight hundred eleven thousand, six hundred forty-eight".