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38654004485376 = 283271719311072237
BaseRepresentation
bin10001100100111110101100…
…01101001101110100000000
312001212021202000220022200200
420302133112031031310000
520031301400122013001
6214113223213045200
711066442156663630
oct1062372615156400
9161767660808620
1038654004485376
1111353086907a85
1244034a3a86800
1318750982627a7
14978c143a06c0
1547072ccb1086
hex2327d634dd00

38654004485376 has 1728 divisors, whose sum is σ = 147975752171520. Its totient is φ = 9436346449920.

The previous prime is 38654004485329. The next prime is 38654004485399. The reversal of 38654004485376 is 67358440045683.

It is a happy number.

38654004485376 is a `hidden beast` number, since 3 + 8 + 6 + 54 + 0 + 0 + 4 + 48 + 537 + 6 = 666.

It is a super-2 number, since 2×386540044853762 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17279392930 + ... + 17279395166.

It is an arithmetic number, because the mean of its divisors is an integer number (85634115840).

Almost surely, 238654004485376 is an apocalyptic number.

38654004485376 is a gapful number since it is divisible by the number (36) 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 38654004485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73987876085760).

38654004485376 is an abundant number, since it is smaller than the sum of its proper divisors (109321747686144).

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

38654004485376 is a wasteful number, since it uses less digits than its factorization.

38654004485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 38654004485376 in words is "thirty-eight trillion, six hundred fifty-four billion, four million, four hundred eighty-five thousand, three hundred seventy-six".