Search a number
-
+
980468651520 = 29335173112683
BaseRepresentation
bin11100100010010000111…
…11000101011000000000
310110201202112202010021000
432101020133011120000
5112030444433322040
62030230541532000
7130556633013051
oct16211037053000
93421675663230
10980468651520
113488a5aa1786
1213a030b74000
13715c4a1b2c7
14356524b6728
151a786c20130
hexe4487c5600

980468651520 has 640 divisors, whose sum is σ = 3700807418880. Its totient is φ = 245195735040.

The previous prime is 980468651497. The next prime is 980468651543. The reversal of 980468651520 is 25156864089.

980468651520 is a `hidden beast` number, since 9 + 8 + 0 + 4 + 68 + 6 + 51 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (980468651497) and next prime (980468651543).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×9804686515202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365436099 + ... + 365438781.

It is an arithmetic number, because the mean of its divisors is an integer number (5782511592).

Almost surely, 2980468651520 is an apocalyptic number.

980468651520 is a gapful number since it is divisible by the number (90) 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 980468651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850403709440).

980468651520 is an abundant number, since it is smaller than the sum of its proper divisors (2720338767360).

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

980468651520 is a wasteful number, since it uses less digits than its factorization.

980468651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 980468651520 in words is "nine hundred eighty billion, four hundred sixty-eight million, six hundred fifty-one thousand, five hundred twenty".