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33143916972 = 22331537123677
BaseRepresentation
bin11110110111100010…
…000000100110101100
310011112212010102200110
4132313202000212230
51020334320320342
623120501100020
72252223434355
oct366742004654
9104485112613
1033143916972
1113068971421
12650b9b7610
1331828287ba
141865bd4d2c
15cdeb49c9c
hex7b78809ac

33143916972 has 96 divisors (see below), whose sum is σ = 82485817344. Its totient is φ = 10341676800.

The previous prime is 33143916889. The next prime is 33143916973. The reversal of 33143916972 is 27961934133.

It is not an unprimeable number, because it can be changed into a prime (33143916973) 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 31 ways as a sum of consecutive naturals, for example, 1387998 + ... + 1411674.

It is an arithmetic number, because the mean of its divisors is an integer number (859227264).

Almost surely, 233143916972 is an apocalyptic number.

It is an amenable number.

33143916972 is an abundant number, since it is smaller than the sum of its proper divisors (49341900372).

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

33143916972 is a wasteful number, since it uses less digits than its factorization.

33143916972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839 (or 23837 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The spelling of 33143916972 in words is "thirty-three billion, one hundred forty-three million, nine hundred sixteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 53 62 71 93 106 124 142 159 186 212 213 284 318 372 426 636 852 1643 2201 3286 3763 4402 4929 6572 6603 7526 8804 9858 11289 13206 15052 19716 22578 23677 26412 45156 47354 71031 94708 116653 142062 233306 284124 349959 466612 699918 733987 1254881 1399836 1467974 1681067 2201961 2509762 2935948 3362134 3764643 4403922 5019524 5043201 6724268 7529286 8807844 10086402 15058572 20172804 38901311 52113077 77802622 89096551 104226154 116703933 155605244 156339231 178193102 208452308 233407866 267289653 312678462 356386204 466815732 534579306 625356924 1069158612 2761993081 5523986162 8285979243 11047972324 16571958486 33143916972