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23434966656 = 2735753439
BaseRepresentation
bin10101110100110101…
…010011011010000000
32020111020000122200000
4111310311103122000
5340443322413111
614433232400000
71456511633643
oct256465233200
966436018600
1023434966656
119a36478342
1246603a6000
13229622429a
1411c4595a5a
159225cdc56
hex574d53680

23434966656 has 96 divisors (see below), whose sum is σ = 69934300800. Its totient is φ = 7811645184.

The previous prime is 23434966637. The next prime is 23434966657. The reversal of 23434966656 is 65666943432.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23434966657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345616 + ... + 407823.

It is an arithmetic number, because the mean of its divisors is an integer number (728482300).

Almost surely, 223434966656 is an apocalyptic number.

It is an amenable number.

23434966656 is an abundant number, since it is smaller than the sum of its proper divisors (46499334144).

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

23434966656 is an frugal number, since it uses more digits than its factorization.

23434966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753468 (or 753444 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 23434966656 in words is "twenty-three billion, four hundred thirty-four million, nine hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 753439 1506878 2260317 3013756 4520634 6027512 6780951 9041268 12055024 13561902 18082536 20342853 24110048 27123804 36165072 40685706 48220096 54247608 61028559 72330144 81371412 96440192 108495216 122057118 144660288 162742824 183085677 216990432 244114236 289320576 325485648 366171354 433980864 488228472 650971296 732342708 867961728 976456944 1301942592 1464685416 1952913888 2603885184 2929370832 3905827776 5858741664 7811655552 11717483328 23434966656