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2043151152 = 243729449467
BaseRepresentation
bin111100111001000…
…0000001100110000
312021101112211110220
41321302000030300
513141021314102
6534423453040
7101426332620
oct17162001460
95241484426
102043151152
1195933a779
124902b7180
132673a52a3
141554cc880
15be5881bc
hex79c80330

2043151152 has 160 divisors (see below), whose sum is σ = 6267456000. Its totient is φ = 561168384.

The previous prime is 2043151151. The next prime is 2043151153. The reversal of 2043151152 is 2511513402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2043151151) and next prime (2043151153).

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

It is not an unprimeable number, because it can be changed into a prime (2043151151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4374823 + ... + 4375289.

It is an arithmetic number, because the mean of its divisors is an integer number (39171600).

Almost surely, 22043151152 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 2043151152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728000).

2043151152 is an abundant number, since it is smaller than the sum of its proper divisors (4224304848).

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

2043151152 is a wasteful number, since it uses less digits than its factorization.

2043151152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2043151152 is about 45201.2295407990. The cubic root of 2043151152 is about 1268.9178273887.

Adding to 2043151152 its reverse (2511513402), we get a palindrome (4554664554).

The spelling of 2043151152 in words is "two billion, forty-three million, one hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 449 464 467 609 696 812 898 934 1218 1347 1392 1401 1624 1796 1868 2436 2694 2802 3143 3248 3269 3592 3736 4872 5388 5604 6286 6538 7184 7472 9429 9744 9807 10776 11208 12572 13021 13076 13543 18858 19614 21552 22416 25144 26042 26152 27086 37716 39063 39228 40629 50288 52084 52304 54172 75432 78126 78456 81258 91147 94801 104168 108344 150864 156252 156912 162516 182294 189602 208336 209683 216688 273441 284403 312504 325032 364588 379204 419366 546882 568806 625008 629049 650064 729176 758408 838732 1093764 1137612 1258098 1458352 1467781 1516816 1677464 2187528 2275224 2516196 2935562 3354928 4375056 4403343 4550448 5032392 5871124 6080807 8806686 10064784 11742248 12161614 17613372 18242421 23484496 24323228 35226744 36484842 42565649 48646456 70453488 72969684 85131298 97292912 127696947 145939368 170262596 255393894 291878736 340525192 510787788 681050384 1021575576 2043151152