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2828136148272 = 243219639834363
BaseRepresentation
bin101001001001111010000…
…011001110110100110000
3101000100220200010000102100
4221021322003032310300
5332314010323221042
610003121112420400
7411216564422631
oct51117203166460
911010820100370
102828136148272
119a0451143186
123981410a7700
131768cc6ba896
149ac4d8c5888
154d87647b24c
hex2927a0ced30

2828136148272 has 30 divisors (see below), whose sum is σ = 7914853248692. Its totient is φ = 942712049376.

The previous prime is 2828136148219. The next prime is 2828136148301. The reversal of 2828136148272 is 2728416318282.

It is a happy number.

2828136148272 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 1 + 361 + 4 + 8 + 272 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9819917038 + ... + 9819917325.

Almost surely, 22828136148272 is an apocalyptic number.

It is an amenable number.

2828136148272 is an abundant number, since it is smaller than the sum of its proper divisors (5086717100420).

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

2828136148272 is a wasteful number, since it uses less digits than its factorization.

2828136148272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19639834377 (or 19639834368 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 2828136148272 in words is "two trillion, eight hundred twenty-eight billion, one hundred thirty-six million, one hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19639834363 39279668726 58919503089 78559337452 117839006178 157118674904 176758509267 235678012356 314237349808 353517018534 471356024712 707034037068 942712049424 1414068074136 2828136148272