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7042308096 = 21132694261
BaseRepresentation
bin1101000111100000…
…10001100000000000
3200011210100022120210
412203300101200000
5103410312324341
63122445034120
7336341426325
oct64360214000
920153308523
107042308096
112a9422133a
121446555940
13882cca215
144ab410b4c
152b33c4c16
hex1a3c11800

7042308096 has 96 divisors (see below), whose sum is σ = 18849121200. Its totient is φ = 2338160640.

The previous prime is 7042308083. The next prime is 7042308127. The reversal of 7042308096 is 6908032407.

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 7 ways as a sum of consecutive naturals, for example, 1650606 + ... + 1654866.

Almost surely, 27042308096 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 7042308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424560600).

7042308096 is an abundant number, since it is smaller than the sum of its proper divisors (11806813104).

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

7042308096 is a wasteful number, since it uses less digits than its factorization.

7042308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7042308096 is about 83918.4609963743. The cubic root of 7042308096 is about 1916.7773717766. Note that the first 3 decimals are identical.

The spelling of 7042308096 in words is "seven billion, forty-two million, three hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 512 538 768 807 1024 1076 1536 1614 2048 2152 3072 3228 4261 4304 6144 6456 8522 8608 12783 12912 17044 17216 25566 25824 34088 34432 51132 51648 68176 68864 102264 103296 136352 137728 204528 206592 272704 275456 409056 413184 545408 550912 818112 826368 1090816 1146209 1636224 1652736 2181632 2292418 3272448 3438627 4363264 4584836 6544896 6877254 8726528 9169672 13089792 13754508 18339344 26179584 27509016 36678688 55018032 73357376 110036064 146714752 220072128 293429504 440144256 586859008 880288512 1173718016 1760577024 2347436032 3521154048 7042308096