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461503054540 = 22511103139146521
BaseRepresentation
bin1101011011100111011…
…10011100001011001100
31122010012221102020221201
412231303232130023030
530030124240221130
6552002300035244
745225322144633
oct6556356341314
91563187366851
10461503054540
111687a44965a0
1275538532b24
133469a5b9bc8
14184a051251a
15c01109abca
hex6b73b9c2cc

461503054540 has 96 divisors (see below), whose sum is σ = 1075213601280. Its totient is φ = 164993241600.

The previous prime is 461503054429. The next prime is 461503054547. The reversal of 461503054540 is 45450305164.

It is a super-2 number, since 2×4615030545402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461503054540.

It is not an unprimeable number, because it can be changed into a prime (461503054547) 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, 3076480 + ... + 3223000.

It is an arithmetic number, because the mean of its divisors is an integer number (11200141680).

Almost surely, 2461503054540 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 461503054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537606800640).

461503054540 is an abundant number, since it is smaller than the sum of its proper divisors (613710546740).

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

461503054540 is a wasteful number, since it uses less digits than its factorization.

461503054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146783 (or 146781 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 461503054540 in words is "four hundred sixty-one billion, five hundred three million, fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 139 206 220 278 412 515 556 695 1030 1133 1390 1529 2060 2266 2780 3058 4532 5665 6116 7645 11330 14317 15290 22660 28634 30580 57268 71585 143170 146521 157487 286340 293042 314974 586084 629948 732605 787435 1465210 1574870 1611731 2930420 3149740 3223462 6446924 8058655 15091663 16117310 20366419 30183326 32234620 40732838 60366652 75458315 81465676 101832095 150916630 166008293 203664190 224030609 301833260 332016586 407328380 448061218 664033172 830041465 896122436 1120153045 1660082930 2097741157 2240306090 3320165860 4195482314 4480612180 8390964628 10488705785 20977411570 23075152727 41954823140 46150305454 92300610908 115375763635 230751527270 461503054540