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616073994353664 = 21034711277348239
BaseRepresentation
bin1000110000010100001110011…
…1100101101011110000000000
32222210100002122221002121110000
42030011003213211223300000
51121222224020023304124
610022140252540240000
7243523606620024360
oct21405034745536000
92883302587077400
10616073994353664
11169333571884510
125911b326240000
132059b6b3b34c52
14ac1c1d74869a0
154b357721b66c9
hex23050e796bc00

616073994353664 has 880 divisors, whose sum is σ = 2301960653245440. Its totient is φ = 159441074749440.

The previous prime is 616073994353627. The next prime is 616073994353689. The reversal of 616073994353664 is 466353499370616.

It is a happy number.

616073994353664 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 73 + 99 + 435 + 36 + 6 + 4 = 666.

It is a super-2 number, since 2×6160739943536642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 616073994353592 and 616073994353601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1768938457 + ... + 1769286695.

It is an arithmetic number, because the mean of its divisors is an integer number (2615864378688).

Almost surely, 2616073994353664 is an apocalyptic number.

616073994353664 is a gapful number since it is divisible by the number (64) 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 616073994353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150980326622720).

616073994353664 is an abundant number, since it is smaller than the sum of its proper divisors (1685886658891776).

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

616073994353664 is a wasteful number, since it uses less digits than its factorization.

616073994353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348566 (or 348539 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 72.

The spelling of 616073994353664 in words is "six hundred sixteen trillion, seventy-three billion, nine hundred ninety-four million, three hundred fifty-three thousand, six hundred sixty-four".