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5813454966 = 23111913073547
BaseRepresentation
bin1010110101000001…
…00100100001110110
3120000011001002222220
411122200210201312
543401221024331
62400510303210
7264030360204
oct53240444166
916004032886
105813454966
1125135a8840
121162ab7b06
13718542aa7
143d2130074
1524058a296
hex15a824876

5813454966 has 64 divisors (see below), whose sum is σ = 13365457920. Its totient is φ = 1667187360.

The previous prime is 5813454943. The next prime is 5813454971. The reversal of 5813454966 is 6694543185.

It is a super-2 number, since 2×58134549662 = 67592517283420122312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1637205 + ... + 1640751.

It is an arithmetic number, because the mean of its divisors is an integer number (208835280).

Almost surely, 25813454966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5813454966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682728960).

5813454966 is an abundant number, since it is smaller than the sum of its proper divisors (7552002954).

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

5813454966 is a wasteful number, since it uses less digits than its factorization.

5813454966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889.

The product of its digits is 3110400, while the sum is 51.

The square root of 5813454966 is about 76246.0160664149. The cubic root of 5813454966 is about 1798.0900487895.

The spelling of 5813454966 in words is "five billion, eight hundred thirteen million, four hundred fifty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1307 2614 3547 3921 7094 7842 10641 14377 21282 24833 28754 39017 43131 49666 67393 74499 78034 86262 117051 134786 148998 202179 234102 273163 404358 546326 741323 819489 1482646 1638978 2223969 4447938 4635929 9271858 13907787 27815574 50995219 88082651 101990438 152985657 176165302 264247953 305971314 528495906 968909161 1937818322 2906727483 5813454966