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3153121152 = 273232291559
BaseRepresentation
bin1011101111110000…
…1100111110000000
322010202011011001220
42323330030332000
522424144334102
61240514155040
7141065042016
oct27374147600
98122134056
103153121152
111378944655
1273bb82a80
133b3336c7c
1421caa48b6
15136c3d1bc
hexbbf0cf80

3153121152 has 128 divisors (see below), whose sum is σ = 8783424000. Its totient is φ = 1000310784.

The previous prime is 3153121141. The next prime is 3153121159. The reversal of 3153121152 is 2511213513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153121159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021749 + ... + 2023307.

It is an arithmetic number, because the mean of its divisors is an integer number (68620500).

Almost surely, 23153121152 is an apocalyptic number.

3153121152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3153121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391712000).

3153121152 is an abundant number, since it is smaller than the sum of its proper divisors (5630302848).

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

3153121152 is a wasteful number, since it uses less digits than its factorization.

3153121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 3153121152 is about 56152.6593493131. The cubic root of 3153121152 is about 1466.3812065192.

Adding to 3153121152 its reverse (2511213513), we get a palindrome (5664334665).

The spelling of 3153121152 in words is "three billion, one hundred fifty-three million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 229 276 368 384 458 552 687 736 916 1104 1374 1472 1559 1832 2208 2748 2944 3118 3664 4416 4677 5267 5496 6236 7328 8832 9354 10534 10992 12472 14656 15801 18708 21068 21984 24944 29312 31602 35857 37416 42136 43968 49888 63204 71714 74832 84272 87936 99776 107571 126408 143428 149664 168544 199552 215142 252816 286856 299328 337088 357011 430284 505632 573712 598656 674176 714022 860568 1011264 1071033 1147424 1428044 1721136 2022528 2142066 2294848 2856088 3442272 4284132 4589696 5712176 6884544 8211253 8568264 11424352 13769088 16422506 17136528 22848704 24633759 32845012 34273056 45697408 49267518 65690024 68546112 98535036 131380048 137092224 197070072 262760096 394140144 525520192 788280288 1051040384 1576560576 3153121152