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461006161454052 = 2233107393411014037
BaseRepresentation
bin110100011010010000101110…
…0011111100010001111100100
32020110021202111000221100121000
41220310201130133202033210
5440411111104313012202
64312251150141153300
7166050411304212024
oct15064413437421744
92213252430840530
10461006161454052
1112398868480a285
12438560ba85b830
1316a30904a40076
1481bab62823a84
153846c6532391c
hex1a3485c7e23e4

461006161454052 has 96 divisors (see below), whose sum is σ = 1206403117799040. Its totient is φ = 152228544531840.

The previous prime is 461006161454017. The next prime is 461006161454077. The reversal of 461006161454052 is 250454161600164.

461006161454052 is a `hidden beast` number, since 4 + 6 + 10 + 0 + 616 + 14 + 5 + 4 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 461006161453989 and 461006161454007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454117578 + ... + 455131614.

It is an arithmetic number, because the mean of its divisors is an integer number (12566699143740).

Almost surely, 2461006161454052 is an apocalyptic number.

It is an amenable number.

461006161454052 is an abundant number, since it is smaller than the sum of its proper divisors (745396956344988).

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

461006161454052 is a wasteful number, since it uses less digits than its factorization.

461006161454052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053498 (or 1053490 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 461006161454052 in words is "four hundred sixty-one trillion, six billion, one hundred sixty-one million, four hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 39341 78682 118023 157364 236046 354069 472092 708138 1014037 1062207 1416276 2028074 2124414 3042111 4056148 4209487 4248828 6084222 8418974 9126333 12168444 12628461 16837948 18252666 25256922 27378999 36505332 37885383 50513844 54757998 75770766 108501959 109515996 113656149 151541532 217003918 227312298 325505877 434007836 454624596 651011754 976517631 1302023508 1953035262 2929552893 3906070524 5859105786 11718211572 39893229617 79786459234 119679688851 159572918468 239359377702 359039066553 478718755404 718078133106 1077117199659 1436156266212 2154234399318 4268575569019 4308468798636 8537151138038 12805726707057 17074302276076 25611453414114 38417180121171 51222906828228 76834360242342 115251540363513 153668720484684 230503080727026 461006161454052