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273213020061696 = 21431113103377387
BaseRepresentation
bin111110000111110001011101…
…000000100100000000000000
31022211100220120010100110020210
4332013301131000210000000
5241302310231113433241
62405024154555434120
7111355663222013331
oct7607613500440000
91284326503313223
10273213020061696
117a065a9a1a3410
122678661b755940
13b95ab533bbb60
144b6781b732288
15218bd6e814316
hexf87c5d024000

273213020061696 has 480 divisors, whose sum is σ = 864226103989248. Its totient is φ = 75681048821760.

The previous prime is 273213020061673. The next prime is 273213020061731. The reversal of 273213020061696 is 696160020312372.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723771115 + ... + 724148501.

Almost surely, 2273213020061696 is an apocalyptic number.

273213020061696 is a gapful number since it is divisible by the number (26) 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 273213020061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432113051994624).

273213020061696 is an abundant number, since it is smaller than the sum of its proper divisors (591013083927552).

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

273213020061696 is a wasteful number, since it uses less digits than its factorization.

273213020061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377545 (or 377519 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 273213020061696 in words is "two hundred seventy-three trillion, two hundred thirteen billion, twenty million, sixty-one thousand, six hundred ninety-six".