Search a number
-
+
42878330011872 = 253424168641351
BaseRepresentation
bin10011011111111011000111…
…01000010000000011100000
312121211010110112122111020000
421233331203220100003200
521110004304440334442
6231110011033420000
712013566663341265
oct1157754350200340
9177733415574200
1042878330011872
1112731663501953
124986135b6a600
131ac0541c41244
14a8347235726c
154e556ca83d4c
hex26ff63a100e0

42878330011872 has 120 divisors (see below), whose sum is σ = 126627232363632. Its totient is φ = 14233470336000.

The previous prime is 42878330011859. The next prime is 42878330011873. The reversal of 42878330011872 is 27811003387824.

42878330011872 is a `hidden beast` number, since 4 + 2 + 87 + 83 + 300 + 1 + 187 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878330011873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33696004 + ... + 34945347.

Almost surely, 242878330011872 is an apocalyptic number.

It is an amenable number.

42878330011872 is an abundant number, since it is smaller than the sum of its proper divisors (83748902351760).

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

42878330011872 is a wasteful number, since it uses less digits than its factorization.

42878330011872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68641614 (or 68641597 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 42878330011872 in words is "forty-two trillion, eight hundred seventy-eight billion, three hundred thirty million, eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 288 324 432 482 648 723 864 964 1296 1446 1928 2169 2592 2892 3856 4338 5784 6507 7712 8676 11568 13014 17352 19521 23136 26028 34704 39042 52056 69408 78084 104112 156168 208224 312336 624672 68641351 137282702 205924053 274565404 411848106 549130808 617772159 823696212 1098261616 1235544318 1647392424 1853316477 2196523232 2471088636 3294784848 3706632954 4942177272 5559949431 6589569696 7413265908 9884354544 11119898862 14826531816 16542565591 19768709088 22239797724 29653063632 33085131182 44479595448 49627696773 59306127264 66170262364 88959190896 99255393546 132340524728 148883090319 177918381792 198510787092 264681049456 297766180638 397021574184 446649270957 529362098912 595532361276 794043148368 893298541914 1191064722552 1339947812871 1588086296736 1786597083828 2382129445104 2679895625742 3573194167656 4764258890208 5359791251484 7146388335312 10719582502968 14292776670624 21439165005936 42878330011872