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5940122640480 = 2533572361140009
BaseRepresentation
bin101011001110000101011…
…1001100110000001100000
3210000212111100201112021000
41112130022321212001200
51234310332343443410
620344504335232000
71152105530232660
oct126341271460140
923025440645230
105940122640480
11199021240aa66
127bb29b078600
133411c7142652
141677097421a0
15a47b23acdc0
hex5670ae66060

5940122640480 has 768 divisors, whose sum is σ = 25200187084800. Its totient is φ = 1277410590720.

The previous prime is 5940122640461. The next prime is 5940122640521. The reversal of 5940122640480 is 840462210495.

It is a happy number.

5940122640480 is a `hidden beast` number, since 5 + 9 + 4 + 0 + 122 + 6 + 40 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42356716 + ... + 42496724.

It is an arithmetic number, because the mean of its divisors is an integer number (32812743600).

Almost surely, 25940122640480 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 5940122640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600093542400).

5940122640480 is an abundant number, since it is smaller than the sum of its proper divisors (19260064444320).

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

5940122640480 is a wasteful number, since it uses less digits than its factorization.

5940122640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140124 (or 140110 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5940122640480 in words is "five trillion, nine hundred forty billion, one hundred twenty-two million, six hundred forty thousand, four hundred eighty".