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5634267012 = 2235114331217
BaseRepresentation
bin1010011111101010…
…00001011110000100
3112112122212102100000
411033311001132010
543014333021022
62331025521300
7256423323303
oct51765013604
915478772300
105634267012
112431440220
121112aa3230
136ba39470a
143b640843a
1522e9926ac
hex14fd41784

5634267012 has 144 divisors (see below), whose sum is σ = 16162840512. Its totient is φ = 1702010880.

The previous prime is 5634266993. The next prime is 5634267043. The reversal of 5634267012 is 2107624365.

5634267012 is a `hidden beast` number, since 5 + 634 + 2 + 6 + 7 + 0 + 12 = 666.

It is a super-2 number, since 2×56342670122 = 63489929525022816288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4629028 + ... + 4630244.

It is an arithmetic number, because the mean of its divisors is an integer number (112241948).

Almost surely, 25634267012 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 5634267012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081420256).

5634267012 is an abundant number, since it is smaller than the sum of its proper divisors (10528573500).

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

5634267012 is a wasteful number, since it uses less digits than its factorization.

5634267012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5634267012 is about 75061.7546557500. The cubic root of 5634267012 is about 1779.4227615286.

The spelling of 5634267012 in words is "five billion, six hundred thirty-four million, two hundred sixty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 433 486 594 866 891 972 1188 1217 1299 1732 1782 2434 2598 2673 3564 3651 3897 4763 4868 5196 5346 7302 7794 9526 10692 10953 11691 13387 14289 14604 15588 19052 21906 23382 26774 28578 32859 35073 40161 42867 43812 46764 53548 57156 65718 70146 80322 85734 98577 105219 120483 128601 131436 140292 160644 171468 197154 210438 240966 257202 295731 361449 385803 394308 420876 481932 514404 526961 591462 722898 771606 1053922 1084347 1157409 1182924 1445796 1543212 1580883 2107844 2168694 2314818 3161766 3253041 4337388 4629636 4742649 5796571 6323532 6506082 9485298 11593142 13012164 14227947 17389713 18970596 23186284 28455894 34779426 42683841 52169139 56911788 69558852 85367682 104338278 128051523 156507417 170735364 208676556 256103046 313014834 469522251 512206092 626029668 939044502 1408566753 1878089004 2817133506 5634267012