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420069758976 = 2113272465107
BaseRepresentation
bin1100001110011100001…
…10111101100000000000
31111011021101100202120100
412013032012331200000
523340300324241401
6520551040442400
742230502015600
oct6071606754000
91434241322510
10420069758976
1115217247836a
12694b4619400
13307c65cbb7a
141648d846c00
15add8843b86
hex61ce1bd800

420069758976 has 216 divisors, whose sum is σ = 1411321389660. Its totient is φ = 120019673088.

The previous prime is 420069758971. The next prime is 420069758981. The reversal of 420069758976 is 679857960024.

420069758976 is a `hidden beast` number, since 42 + 0 + 0 + 6 + 9 + 7 + 589 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (420069758971) and next prime (420069758981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420069758971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 670615 + ... + 1135721.

Almost surely, 2420069758976 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 420069758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705660694830).

420069758976 is an abundant number, since it is smaller than the sum of its proper divisors (991251630684).

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

420069758976 is a wasteful number, since it uses less digits than its factorization.

420069758976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465149 (or 465119 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 420069758976 in words is "four hundred twenty billion, sixty-nine million, seven hundred fifty-eight thousand, nine hundred seventy-six".