Search a number
-
+
69903817344 = 273320226799
BaseRepresentation
bin100000100011010010…
…1111001101010000000
320200102201100212002000
41001012211321222000
52121130334123334
652040253224000
75023165433514
oct1010645715200
9220381325060
1069903817344
1127711978679
121166a792000
13679053c53a
143551d3a144
151c41e62299
hex1046979a80

69903817344 has 64 divisors (see below), whose sum is σ = 206313360000. Its totient is φ = 23301271296.

The previous prime is 69903817331. The next prime is 69903817349. The reversal of 69903817344 is 44371830996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (69903817349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10109944 + ... + 10116855.

It is an arithmetic number, because the mean of its divisors is an integer number (3223646250).

Almost surely, 269903817344 is an apocalyptic number.

69903817344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

69903817344 is an abundant number, since it is smaller than the sum of its proper divisors (136409542656).

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

69903817344 is a wasteful number, since it uses less digits than its factorization.

69903817344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20226822 (or 20226804 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 69903817344 in words is "sixty-nine billion, nine hundred three million, eight hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 20226799 40453598 60680397 80907196 121360794 161814392 182041191 242721588 323628784 364082382 485443176 546123573 647257568 728164764 970886352 1092247146 1294515136 1456329528 1941772704 2184494292 2589030272 2912659056 3883545408 4368988584 5825318112 7767090816 8737977168 11650636224 17475954336 23301272448 34951908672 69903817344