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4770112356 = 223612792
BaseRepresentation
bin1000111000101001…
…00010001101100100
3110022102210211000000
410130110202031210
534232122043411
62105200021300
7226131200052
oct43424421544
913272724000
104770112356
112028671019
12b11601830
135b033b7b9
1433373d1d2
151cdb96956
hex11c522364

4770112356 has 63 divisors (see below), whose sum is σ = 12525612771. Its totient is φ = 1588794264.

The previous prime is 4770112309. The next prime is 4770112381. The reversal of 4770112356 is 6532110774.

It is a happy number.

The square root of 4770112356 is 69066.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4770112356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3728925 + ... + 3730203.

Almost surely, 24770112356 is an apocalyptic number.

4770112356 is the 69066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4770112356

4770112356 is an abundant number, since it is smaller than the sum of its proper divisors (7755500415).

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

4770112356 is an frugal number, since it uses more digits than its factorization.

4770112356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 4770112356 is about 1683.3568976300.

Multiplying 4770112356 by its sum of digits (36), we get a square (171724044816 = 4143962).

4770112356 divided by its sum of digits (36) gives a square (132503121 = 115112).

The spelling of 4770112356 in words is "four billion, seven hundred seventy million, one hundred twelve thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1279 1458 2558 2916 3837 5116 7674 11511 15348 23022 34533 46044 69066 103599 138132 207198 310797 414396 621594 932391 1243188 1635841 1864782 3271682 3729564 4907523 6543364 9815046 14722569 19630092 29445138 44167707 58890276 88335414 132503121 176670828 265006242 397509363 530012484 795018726 1192528089 1590037452 2385056178 4770112356