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5321140992 = 28336411201
BaseRepresentation
bin1001111010010101…
…00010101100000000
3111201211122222012000
410331022202230000
541344203002432
62240002304000
7245601644406
oct47512425400
914654588160
105321140992
112290710a92
121046058000
1366a54c24b
143869b9476
1521223e57c
hex13d2a2b00

5321140992 has 144 divisors (see below), whose sum is σ = 15773220960. Its totient is φ = 1769472000.

The previous prime is 5321140991. The next prime is 5321140997. The reversal of 5321140992 is 2990411235.

5321140992 is a `hidden beast` number, since 532 + 114 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5321140991) 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, 4429992 + ... + 4431192.

Almost surely, 25321140992 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 5321140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886610480).

5321140992 is an abundant number, since it is smaller than the sum of its proper divisors (10452079968).

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

5321140992 is a wasteful number, since it uses less digits than its factorization.

5321140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5321140992 is about 72946.1513172559. The cubic root of 5321140992 is about 1745.8285397458.

The spelling of 5321140992 in words is "five billion, three hundred twenty-one million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 641 768 864 1152 1201 1282 1728 1923 2304 2402 2564 3456 3603 3846 4804 5128 5769 6912 7206 7692 9608 10256 10809 11538 14412 15384 17307 19216 20512 21618 23076 28824 30768 32427 34614 38432 41024 43236 46152 57648 61536 64854 69228 76864 82048 86472 92304 115296 123072 129708 138456 153728 164096 172944 184608 230592 246144 259416 276912 307456 345888 369216 461184 492288 518832 553824 691776 738432 769841 922368 1037664 1107648 1383552 1476864 1539682 2075328 2215296 2309523 2767104 3079364 4150656 4430592 4619046 6158728 6928569 8301312 9238092 12317456 13857138 18476184 20785707 24634912 27714276 36952368 41571414 49269824 55428552 73904736 83142828 98539648 110857104 147809472 166285656 197079296 221714208 295618944 332571312 443428416 591237888 665142624 886856832 1330285248 1773713664 2660570496 5321140992