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434670537024464 = 24139421221819573
BaseRepresentation
bin110001011010101001001111…
…0111101000010001111010000
32010000001002122002100201222212
41202311102132331002033100
5423433120224434240324
64140244515451451252
7160361624055112436
oct14265223675021720
92100032562321885
10434670537024464
11116554815349354
124090208b456b28
1315870342ba6a10
14794a248262d56
15353bba156e70e
hex18b549ef423d0

434670537024464 has 40 divisors (see below), whose sum is σ = 907053067382952. Its totient is φ = 200595875351040.

The previous prime is 434670537024397. The next prime is 434670537024467. The reversal of 434670537024464 is 464420735076434.

It can be written as a sum of positive squares in 4 ways, for example, as 8165763456400 + 426504773568064 = 2857580^2 + 20651992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434670537024467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108950219 + ... + 112869354.

Almost surely, 2434670537024464 is an apocalyptic number.

It is an amenable number.

434670537024464 is an abundant number, since it is smaller than the sum of its proper divisors (472382530358488).

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

434670537024464 is a wasteful number, since it uses less digits than its factorization.

434670537024464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221829015 (or 221829009 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 59.

The spelling of 434670537024464 in words is "four hundred thirty-four trillion, six hundred seventy billion, five hundred thirty-seven million, twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 9421 18842 37684 75368 122473 150736 244946 489892 979784 1959568 221819573 443639146 887278292 1774556584 2883654449 3549113168 5767308898 11534617796 23069235592 46138471184 2089762197233 4179524394466 8359048788932 16718097577864 27166908564029 33436195155728 54333817128058 108667634256116 217335268512232 434670537024464