Search a number
-
+
69440294640 = 2435377819853
BaseRepresentation
bin100000010101011110…
…1101100111011110000
320122020102011110110110
41000222331230323300
52114203203412030
651522254301320
75005536523413
oct1005275547360
9218212143413
1069440294640
11274a4266162
121155b4b7840
1367184b9752
14350a55bb7a
151c164021b0
hex102af6cef0

69440294640 has 80 divisors (see below), whose sum is σ = 221082912288. Its totient is φ = 18016939008.

The previous prime is 69440294611. The next prime is 69440294641. The reversal of 69440294640 is 4649204496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 69440294640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69440294641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901047 + ... + 3918806.

Almost surely, 269440294640 is an apocalyptic number.

69440294640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69440294640 is an abundant number, since it is smaller than the sum of its proper divisors (151642617648).

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

69440294640 is a wasteful number, since it uses less digits than its factorization.

69440294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819906 (or 7819900 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 69440294640 in words is "sixty-nine billion, four hundred forty million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 7819853 15639706 23459559 31279412 39099265 46919118 62558824 78198530 93838236 117297795 125117648 156397060 187676472 234595590 289334561 312794120 375352944 469191180 578669122 625588240 868003683 938382360 1157338244 1446672805 1736007366 1876764720 2314676488 2893345610 3472014732 4340018415 4629352976 5786691220 6944029464 8680036830 11573382440 13888058928 17360073660 23146764880 34720147320 69440294640