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5432701807152 = 2432315051240943
BaseRepresentation
bin100111100001110011001…
…0000101110101000110000
3201020100202022220102102200
41033003212100232220300
51203002133130312102
615315425421543200
71100333262302604
oct117034620565060
921210668812380
105432701807152
111804aa55a3664
12738a88a14b00
133053bc764849
1414ad30b37504
15964b503451c
hex4f0e642ea30

5432701807152 has 120 divisors (see below), whose sum is σ = 15697644238848. Its totient is φ = 1752130224000.

The previous prime is 5432701807139. The next prime is 5432701807187. The reversal of 5432701807152 is 2517081072345.

5432701807152 is a `hidden beast` number, since 5 + 432 + 70 + 1 + 80 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×54327018071522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5432701807098 and 5432701807107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22427193 + ... + 22668135.

Almost surely, 25432701807152 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 5432701807152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848822119424).

5432701807152 is an abundant number, since it is smaller than the sum of its proper divisors (10264942431696).

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

5432701807152 is a wasteful number, since it uses less digits than its factorization.

5432701807152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246039 (or 246030 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

Adding to 5432701807152 its reverse (2517081072345), we get a palindrome (7949782879497).

The spelling of 5432701807152 in words is "five trillion, four hundred thirty-two billion, seven hundred one million, eight hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 5051 10102 15153 20204 30306 40408 45459 60612 80816 90918 121224 156581 181836 240943 242448 313162 363672 469743 481886 626324 722829 727344 939486 963772 1252648 1409229 1445658 1878972 1927544 2168487 2505296 2818458 2891316 3757944 3855088 4336974 5636916 5782632 7469233 7515888 8673948 11273832 11565264 14938466 17347896 22407699 22547664 29876932 34695792 44815398 59753864 67223097 89630796 119507728 134446194 179261592 268892388 358523184 537784776 1075569552 1217003093 2434006186 3651009279 4868012372 7302018558 9736024744 10953027837 14604037116 19472049488 21906055674 29208074232 37727095883 43812111348 58416148464 75454191766 87624222696 113181287649 150908383532 175248445392 226362575298 301816767064 339543862947 452725150596 603633534128 679087725894 905450301192 1358175451788 1810900602384 2716350903576 5432701807152