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802119325140 = 2232573147601727
BaseRepresentation
bin10111010110000100000…
…10011001010111010100
32211200102002000121112100
423223002002121113110
5101120220021401030
61412253304522100
7111644156524350
oct13530202312724
92750362017470
10802119325140
1128a1a44a2081
1210b558180330
135a841072713
142ab73a02460
1515ce93c5360
hexbac20995d4

802119325140 has 576 divisors, whose sum is σ = 2940368191488. Its totient is φ = 173124864000.

The previous prime is 802119325127. The next prime is 802119325181. The reversal of 802119325140 is 41523911208.

802119325140 is a `hidden beast` number, since 80 + 2 + 119 + 325 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 802119325095 and 802119325104.

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, 1103327457 + ... + 1103328183.

It is an arithmetic number, because the mean of its divisors is an integer number (5104805888).

Almost surely, 2802119325140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802119325140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470184095744).

802119325140 is an abundant number, since it is smaller than the sum of its proper divisors (2138248866348).

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

802119325140 is a wasteful number, since it uses less digits than its factorization.

802119325140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 802119325140 in words is "eight hundred two billion, one hundred nineteen million, three hundred twenty-five thousand, one hundred forty".