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1000233745328 = 24314149185373
BaseRepresentation
bin11101000111000101001…
…00111011101110110000
310112121210000020220210102
432203202210323232300
5112341434314322303
62043300120251532
7132156503361206
oct16434244735660
93477700226712
101000233745328
11356218967254
12141a28310ba8
137342483979c
14365a94d1076
151b042039288
hexe8e293bbb0

1000233745328 has 40 divisors (see below), whose sum is σ = 2049259422336. Its totient is φ = 472179571200.

The previous prime is 1000233745283. The next prime is 1000233745337. The reversal of 1000233745328 is 8235473320001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000233745291 and 1000233745300.

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, 24572351 + ... + 24613022.

Almost surely, 21000233745328 is an apocalyptic number.

It is an amenable number.

1000233745328 is an abundant number, since it is smaller than the sum of its proper divisors (1049025677008).

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

1000233745328 is a wasteful number, since it uses less digits than its factorization.

1000233745328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49185453 (or 49185447 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 1000233745328 in words is "one trillion, two hundred thirty-three million, seven hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 496 656 1271 2542 5084 10168 20336 49185373 98370746 196741492 393482984 786965968 1524746563 2016600293 3049493126 4033200586 6098986252 8066401172 12197972504 16132802344 24395945008 32265604688 62514609083 125029218166 250058436332 500116872664 1000233745328