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9029061984 = 253314173999
BaseRepresentation
bin10000110100010110…
…01000110101100000
3212022020202212120010
420122023020311200
5121442414440414
64051540044520
7436514521605
oct103213106540
925266685503
109029061984
1139137409a8
1218bb993740
13b0b7b7337
1461921c6ac
1537ca1c959
hex21a2c8d60

9029061984 has 96 divisors (see below), whose sum is σ = 25062912000. Its totient is φ = 2841523200.

The previous prime is 9029061983. The next prime is 9029061997. The reversal of 9029061984 is 4891609209.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9029061983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 85017 + ... + 159015.

It is an arithmetic number, because the mean of its divisors is an integer number (261072000).

Almost surely, 29029061984 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 9029061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531456000).

9029061984 is an abundant number, since it is smaller than the sum of its proper divisors (16033850016).

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

9029061984 is a wasteful number, since it uses less digits than its factorization.

9029061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74084 (or 74076 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 9029061984 is about 95021.3764581423. The cubic root of 9029061984 is about 2082.3203568016.

The spelling of 9029061984 in words is "nine billion, twenty-nine million, sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 30504 40672 61008 73999 122016 147998 221997 295996 443994 591992 887988 1183984 1775976 2293969 2367968 3033959 3551952 4587938 6067918 6881907 7103904 9101877 9175876 12135836 13763814 18203754 18351752 24271672 27527628 36407508 36703504 48543344 55055256 72815016 73407008 94052729 97086688 110110512 145630032 188105458 220221024 282158187 291260064 376210916 564316374 752421832 1128632748 1504843664 2257265496 3009687328 4514530992 9029061984