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196264199376 = 24327319283739
BaseRepresentation
bin1011011011001001000…
…0100000010011010000
3200202120222201100110100
42312302100200103100
511203422113340001
6230055034532400
720115416112000
oct2666220402320
9622528640410
10196264199376
1176265029973
1232054597100
131567a37226b
1496dbca2000
15518a4da586
hex2db24204d0

196264199376 has 480 divisors, whose sum is σ = 677555840000. Its totient is φ = 52864793856.

The previous prime is 196264199371. The next prime is 196264199407. The reversal of 196264199376 is 673991462691.

196264199376 is a `hidden beast` number, since 1 + 9 + 62 + 6 + 419 + 93 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196264199371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265580415 + ... + 265581153.

Almost surely, 2196264199376 is an apocalyptic number.

196264199376 is a gapful number since it is divisible by the number (16) 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 196264199376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338777920000).

196264199376 is an abundant number, since it is smaller than the sum of its proper divisors (481291640624).

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

196264199376 is a wasteful number, since it uses less digits than its factorization.

196264199376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1053 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 196264199376 in words is "one hundred ninety-six billion, two hundred sixty-four million, one hundred ninety-nine thousand, three hundred seventy-six".