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5466206440 = 235312433307
BaseRepresentation
bin1010001011100111…
…11011000011101000
3112002221122001120101
411011303323003220
542143322101230
62302223435144
7252312662632
oct50563730350
915087561511
105466206440
112355592892
121086755ab4
136916110a6
1439bd7ba52
1521ed46aca
hex145cfb0e8

5466206440 has 96 divisors (see below), whose sum is σ = 13007982240. Its totient is φ = 2066117760.

The previous prime is 5466206423. The next prime is 5466206441. The reversal of 5466206440 is 446026645.

It is a self number, because there is not a number n which added to its sum of digits gives 5466206440.

It is not an unprimeable number, because it can be changed into a prime (5466206441) 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, 1651267 + ... + 1654573.

It is an arithmetic number, because the mean of its divisors is an integer number (135499815).

Almost surely, 25466206440 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 5466206440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503991120).

5466206440 is an abundant number, since it is smaller than the sum of its proper divisors (7541775800).

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

5466206440 is a wasteful number, since it uses less digits than its factorization.

5466206440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 5466206440 is about 73933.7976841444. The cubic root of 5466206440 is about 1761.5514943391.

The spelling of 5466206440 in words is "five billion, four hundred sixty-six million, two hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 961 1240 1333 1720 1922 2666 3307 3844 4805 5332 6614 6665 7688 9610 10664 13228 13330 16535 19220 26456 26660 33070 38440 41323 53320 66140 82646 102517 132280 142201 165292 205034 206615 284402 330584 410068 413230 512585 568804 711005 820136 826460 1025170 1137608 1422010 1652920 2050340 2844020 3178027 4100680 4408231 5688040 6356054 8816462 12712108 15890135 17632924 22041155 25424216 31780270 35265848 44082310 63560540 88164620 127121080 136655161 176329240 273310322 546620644 683275805 1093241288 1366551610 2733103220 5466206440