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420694516320 = 25351367418993
BaseRepresentation
bin1100001111100110101…
…10001110001001100000
31111012212220221201112020
412013303112032021200
523343040244010240
6521133035301440
742252126246561
oct6076326161140
91435786851466
10420694516320
111524630a5851
12696498aa880
1330895b85380
141650c7d6168
15ae236020d0
hex61f358e260

420694516320 has 96 divisors (see below), whose sum is σ = 1427125264992. Its totient is φ = 103555571712.

The previous prime is 420694516309. The next prime is 420694516337. The reversal of 420694516320 is 23615496024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33703257 + ... + 33715736.

It is an arithmetic number, because the mean of its divisors is an integer number (14865888177).

Almost surely, 2420694516320 is an apocalyptic number.

420694516320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420694516320 is an abundant number, since it is smaller than the sum of its proper divisors (1006430748672).

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

420694516320 is a wasteful number, since it uses less digits than its factorization.

420694516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67419024 (or 67419016 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 420694516320 in words is "four hundred twenty billion, six hundred ninety-four million, five hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 67418993 134837986 202256979 269675972 337094965 404513958 539351944 674189930 809027916 876446909 1011284895 1078703888 1348379860 1618055832 1752893818 2022569790 2157407776 2629340727 2696759720 3236111664 3505787636 4045139580 4382234545 5258681454 5393519440 6472223328 7011575272 8090279160 8764469090 10517362908 10787038880 13146703635 14023150544 16180558320 17528938180 21034725816 26293407270 28046301088 32361116640 35057876360 42069451632 52586814540 70115752720 84138903264 105173629080 140231505440 210347258160 420694516320