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83077685824 = 267251472
BaseRepresentation
bin100110101011111010…
…0001110001001000000
321221102211022201020211
41031113310032021000
52330120341421244
6102055415043504
76000512451400
oct1152764161100
9257384281224
1083077685824
1132262207a91
1214126670594
137aac9492a3
144041804800
1522637aa934
hex1357d0e240

83077685824 has 63 divisors (see below), whose sum is σ = 191810023923. Its totient is φ = 35597804928.

The previous prime is 83077685807. The next prime is 83077685837. The reversal of 83077685824 is 42858677038.

The square root of 83077685824 is 288232.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16138419 + ... + 16143565.

Almost surely, 283077685824 is an apocalyptic number.

83077685824 is the 288232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83077685824

83077685824 is an abundant number, since it is smaller than the sum of its proper divisors (108732338099).

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

83077685824 is an frugal number, since it uses more digits than its factorization.

83077685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 83077685824 in words is "eighty-three billion, seventy-seven million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5147 10294 20588 36029 41176 72058 82352 144116 164704 252203 288232 329408 504406 576464 1008812 1152928 2017624 2305856 4035248 8070496 16140992 26491609 52983218 105966436 185441263 211932872 370882526 423865744 741765052 847731488 1298088841 1483530104 1695462976 2596177682 2967060208 5192355364 5934120416 10384710728 11868240832 20769421456 41538842912 83077685824