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1012011984 = 243216742083
BaseRepresentation
bin111100010100100…
…001001111010000
32121112021112110100
4330110201033100
54033033340414
6244230532400
734035650154
oct7424411720
92545245410
101012011984
1147a288645
12242b07100
13131884779
1498597064
155dca5609
hex3c5213d0

1012011984 has 60 divisors (see below), whose sum is σ = 2849255136. Its totient is φ = 335309376.

The previous prime is 1012011971. The next prime is 1012012003. The reversal of 1012011984 is 4891102101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3007 + ... + 45089.

Almost surely, 21012011984 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 1012011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424627568).

1012011984 is an abundant number, since it is smaller than the sum of its proper divisors (1837243152).

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

1012011984 is a wasteful number, since it uses less digits than its factorization.

1012011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42264 (or 42255 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1012011984 is about 31812.1357975223. The cubic root of 1012011984 is about 1003.9880688307.

The spelling of 1012011984 in words is "one billion, twelve million, eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 6012 8016 12024 24048 42083 84166 126249 168332 252498 336664 378747 504996 673328 757494 1009992 1514988 2019984 3029976 6059952 7027861 14055722 21083583 28111444 42167166 56222888 63250749 84334332 112445776 126501498 168668664 253002996 337337328 506005992 1012011984