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4712278072320 = 2103257134127409
BaseRepresentation
bin100010010010010100110…
…1010010001110000000000
3121200111012202112210112100
41010210221222101300000
51104201221141303240
614004442441030400
7664310433504630
oct104445152216000
917614182483470
104712278072320
111557514139775
12641330485400
1328249abbb310
1412410b1686c0
158289ce0ee30
hex44929a91c00

4712278072320 has 1056 divisors, whose sum is σ = 20586797562240. Its totient is φ = 969953771520.

The previous prime is 4712278072283. The next prime is 4712278072349. The reversal of 4712278072320 is 232708722174.

4712278072320 is a `hidden beast` number, since 47 + 12 + 278 + 0 + 7 + 2 + 320 = 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 95 ways as a sum of consecutive naturals, for example, 171910776 + ... + 171938184.

Almost surely, 24712278072320 is an apocalyptic number.

4712278072320 is a gapful number since it is divisible by the number (40) 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 4712278072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10293398781120).

4712278072320 is an abundant number, since it is smaller than the sum of its proper divisors (15874519489920).

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

4712278072320 is a wasteful number, since it uses less digits than its factorization.

4712278072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27501 (or 27480 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 4712278072320 in words is "four trillion, seven hundred twelve billion, two hundred seventy-eight million, seventy-two thousand, three hundred twenty".