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5346870816 = 253710217793
BaseRepresentation
bin1001111101011001…
…01100011000100000
3111210122002011212110
410332230230120200
541422244331231
62242321555320
7246333436440
oct47654543040
914718064773
105346870816
1122a4195201
1210527a5b40
1367298a6b1
1438a196120
15214623046
hex13eb2c620

5346870816 has 96 divisors (see below), whose sum is σ = 16058383488. Its totient is φ = 1525985280.

The previous prime is 5346870799. The next prime is 5346870817. The reversal of 5346870816 is 6180786435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5346870817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682216 + ... + 690008.

It is an arithmetic number, because the mean of its divisors is an integer number (167274828).

Almost surely, 25346870816 is an apocalyptic number.

5346870816 is a gapful number since it is divisible by the number (56) 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 5346870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029191744).

5346870816 is an abundant number, since it is smaller than the sum of its proper divisors (10711512672).

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

5346870816 is a wasteful number, since it uses less digits than its factorization.

5346870816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8826 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5346870816 is about 73122.3004014507. The cubic root of 5346870816 is about 1748.6379405383.

The spelling of 5346870816 in words is "five billion, three hundred forty-six million, eight hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1021 2042 3063 4084 6126 7147 7793 8168 12252 14294 15586 16336 21441 23379 24504 28588 31172 32672 42882 46758 49008 54551 57176 62344 85764 93516 98016 109102 114352 124688 163653 171528 187032 218204 228704 249376 327306 343056 374064 436408 654612 686112 748128 872816 1309224 1745632 2618448 5236896 7956653 15913306 23869959 31826612 47739918 55696571 63653224 95479836 111393142 127306448 167089713 190959672 222786284 254612896 334179426 381919344 445572568 668358852 763838688 891145136 1336717704 1782290272 2673435408 5346870816