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2123462952 = 2334131913267
BaseRepresentation
bin111111010010001…
…0111100100101000
312110222200002120000
41332210113210220
513322101303302
6550413103000
7103423065042
oct17644274450
95428602500
102123462952
1199a704166
124b3187a60
1327ac14570
14162036a92
15c664e31c
hex7e917928

2123462952 has 160 divisors (see below), whose sum is σ = 6742797600. Its totient is φ = 618938496.

The previous prime is 2123462927. The next prime is 2123462963. The reversal of 2123462952 is 2592643212.

2123462952 is a `hidden beast` number, since 2 + 1 + 23 + 4 + 629 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153423 + ... + 166689.

It is an arithmetic number, because the mean of its divisors is an integer number (42142485).

Almost surely, 22123462952 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 2123462952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371398800).

2123462952 is an abundant number, since it is smaller than the sum of its proper divisors (4619334648).

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

2123462952 is a wasteful number, since it uses less digits than its factorization.

2123462952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13304 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2123462952 is about 46081.0476443407. The cubic root of 2123462952 is about 1285.3307454073.

The spelling of 2123462952 in words is "two billion, one hundred twenty-three million, four hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1482 1539 1976 2052 2106 2223 2808 2964 3078 4104 4212 4446 5928 6156 6669 8424 8892 12312 13267 13338 17784 20007 26534 26676 39801 40014 53068 53352 79602 80028 106136 119403 159204 160056 172471 238806 252073 318408 344942 358209 477612 504146 517413 689884 716418 756219 955224 1008292 1034826 1074627 1379768 1432836 1512438 1552239 2016584 2069652 2149254 2268657 2865672 3024876 3104478 3276949 4139304 4298508 4537314 4656717 6049752 6208956 6553898 6805971 8597016 9074628 9313434 9830847 12417912 13107796 13611942 13970151 18149256 18626868 19661694 20417913 26215592 27223884 27940302 29492541 37253736 39323388 40835826 54447768 55880604 58985082 78646776 81671652 88477623 111761208 117970164 163343304 176955246 235940328 265432869 353910492 530865738 707820984 1061731476 2123462952