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331416498864 = 243113753320083
BaseRepresentation
bin1001101001010011111…
…01100111001010110000
31011200102222121112021010
410310221331213022300
520412220110430424
6412130045430520
732641544521443
oct4645175471260
91150388545233
10331416498864
11118609a78950
125429286b440
13253387cb0c9
141207d75565a
15894a83b229
hex4d29f672b0

331416498864 has 160 divisors (see below), whose sum is σ = 977336803584. Its totient is φ = 95870960640.

The previous prime is 331416498863. The next prime is 331416498869. The reversal of 331416498864 is 468894614133.

331416498864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (331416498863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875367 + ... + 1195449.

Almost surely, 2331416498864 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 331416498864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488668401792).

331416498864 is an abundant number, since it is smaller than the sum of its proper divisors (645920304720).

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

331416498864 is a wasteful number, since it uses less digits than its factorization.

331416498864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320195 (or 320189 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 331416498864 in words is "three hundred thirty-one billion, four hundred sixteen million, four hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 53 66 74 88 106 111 132 148 159 176 212 222 264 296 318 407 424 444 528 583 592 636 814 848 888 1166 1221 1272 1628 1749 1776 1961 2332 2442 2544 3256 3498 3922 4664 4884 5883 6512 6996 7844 9328 9768 11766 13992 15688 19536 21571 23532 27984 31376 43142 47064 64713 86284 94128 129426 172568 258852 320083 345136 517704 640166 960249 1035408 1280332 1920498 2560664 3520913 3840996 5121328 7041826 7681992 10562739 11843071 14083652 15363984 16964399 21125478 23686142 28167304 33928798 35529213 42250956 47372284 50893197 56334608 67857596 71058426 84501912 94744568 101786394 130273781 135715192 142116852 169003824 186608389 189489136 203572788 260547562 271430384 284233704 373216778 390821343 407145576 521095124 559825167 568467408 627682763 746433556 781642686 814291152 1042190248 1119650334 1255365526 1492867112 1563285372 1883048289 2084380496 2239300668 2510731052 2985734224 3126570744 3766096578 4478601336 5021462104 6253141488 6904510393 7532193156 8957202672 10042924208 13809020786 15064386312 20713531179 27618041572 30128772624 41427062358 55236083144 82854124716 110472166288 165708249432 331416498864