Search a number
-
+
6945555496 = 2311172793457
BaseRepresentation
bin1100111011111110…
…01100010000101000
3122221001021202222011
412131333030100220
5103211030233441
63105111205304
7334055150635
oct63577142050
918831252864
106945555496
112a44648710
12141a076834
13868c52869
1449c62718c
152a9b62581
hex19dfcc428

6945555496 has 96 divisors (see below), whose sum is σ = 15287126400. Its totient is φ = 2932899840.

The previous prime is 6945555481. The next prime is 6945555497.

6945555496 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×69455554962 = 96481482296031612032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6945555496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945555497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007400 + ... + 2010856.

It is an arithmetic number, because the mean of its divisors is an integer number (159240900).

Almost surely, 26945555496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6945555496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643563200).

6945555496 is an abundant number, since it is smaller than the sum of its proper divisors (8341570904).

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

6945555496 is a wasteful number, since it uses less digits than its factorization.

6945555496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3566 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 58.

The square root of 6945555496 is about 83339.9993760499. Note that the first 3 decimals coincide. The cubic root of 6945555496 is about 1907.9588124197.

The spelling of 6945555496 in words is "six billion, nine hundred forty-five million, five hundred fifty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 79 88 136 158 187 289 316 374 578 632 748 869 1156 1343 1496 1738 2312 2686 3179 3457 3476 5372 6358 6914 6952 10744 12716 13828 14773 22831 25432 27656 29546 38027 45662 58769 59092 76054 91324 117538 118184 152108 182648 235076 251141 273103 304216 470152 502282 546206 646459 999073 1004564 1092412 1292918 1998146 2009128 2184824 2585836 3004133 3996292 4642751 5171672 6008266 7992584 9285502 10989803 12016532 18571004 21979606 24033064 37142008 43959212 51070261 78926767 87918424 102140522 157853534 204281044 315707068 408562088 631414136 868194437 1736388874 3472777748 6945555496