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6700000248 = 23321916330047
BaseRepresentation
bin1100011110101100…
…11110001111111000
3122021221020021111100
412033112132033320
5102210200001443
63024500131400
7325014030264
oct61726361770
918257207440
106700000248
112928a80397
12136b996b60
1382a1082b6
14477b870a4
1529330a3d3
hex18f59e3f8

6700000248 has 96 divisors (see below), whose sum is σ = 19218700800. Its totient is φ = 2102739264.

The previous prime is 6700000213. The next prime is 6700000249. The reversal of 6700000248 is 8420000076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6700000249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207961 + ... + 238007.

It is an arithmetic number, because the mean of its divisors is an integer number (200194800).

Almost surely, 26700000248 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 6700000248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609350400).

6700000248 is an abundant number, since it is smaller than the sum of its proper divisors (12518700552).

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

6700000248 is a wasteful number, since it uses less digits than its factorization.

6700000248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30241 (or 30234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6700000248 is about 81853.5292336256. The cubic root of 6700000248 is about 1885.2036542812.

The spelling of 6700000248 in words is "six billion, seven hundred million, two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 163 171 228 326 342 456 489 652 684 978 1304 1368 1467 1956 2934 3097 3912 5868 6194 9291 11736 12388 18582 24776 27873 30047 37164 55746 60094 74328 90141 111492 120188 180282 222984 240376 270423 360564 540846 570893 721128 1081692 1141786 1712679 2163384 2283572 3425358 4567144 4897661 5138037 6850716 9795322 10276074 13701432 14692983 19590644 20552148 29385966 39181288 41104296 44078949 58771932 88157898 93055559 117543864 176315796 186111118 279166677 352631592 372222236 558333354 744444472 837500031 1116666708 1675000062 2233333416 3350000124 6700000248