Search a number
-
+
425011262110524 = 2232371013159183407
BaseRepresentation
bin110000010100010111010010…
…1010011011011101100111100
32001201211200100121111020111100
41200220232211103123230330
5421201341031100014044
64103531251155453100
7155344023165044025
oct14050564523335474
92051750317436440
10425011262110524
1111347029a493551
123b8020438b7190
131531c50bc1316b
1476d4924c6bc4c
1534207b929c869
hex1828ba54dbb3c

425011262110524 has 72 divisors (see below), whose sum is σ = 1114294534936128. Its totient is φ = 136476723139200.

The previous prime is 425011262110517. The next prime is 425011262110573.

425011262110524 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 1 + 1 + 2 + 621 + 1 + 0 + 5 + 24 = 666.

425011262110524 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4250112621105244 (a number of 60 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579457172 + ... + 1579726235.

It is an arithmetic number, because the mean of its divisors is an integer number (15476312985224).

Almost surely, 2425011262110524 is an apocalyptic number.

It is an amenable number.

425011262110524 is an abundant number, since it is smaller than the sum of its proper divisors (689283272825604).

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

425011262110524 is a wasteful number, since it uses less digits than its factorization.

425011262110524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159183555 (or 3159183550 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 425011262110524 in words is "four hundred twenty-five trillion, eleven billion, two hundred sixty-two million, one hundred ten thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 3159183407 6318366814 9477550221 12636733628 18955100442 28432650663 37910200884 56865301326 113730602652 116889786059 233779572118 319077524107 350669358177 467559144236 638155048214 701338716354 957232572321 1052008074531 1276310096428 1402677432708 1914465144642 2104016149062 2871697716963 3828930289284 4208032298124 5743395433926 11486790867852 11805868391959 23611736783918 35417605175877 47223473567836 70835210351754 106252815527631 141670420703508 212505631055262 425011262110524