Search a number
-
+
2146563500536 = 2371317199128719
BaseRepresentation
bin11111001111001001001…
…001111010100111111000
321121012122200221002210201
4133033021021322213320
5240132130224004121
64322041225251544
7311040562463320
oct37171111724770
97535580832721
102146563500536
11758397154034
122a8027933bb4
1312755cb7b5a0
1475c73a92280
153ac85044e91
hex1f3c927a9f8

2146563500536 has 128 divisors (see below), whose sum is σ = 5521049856000. Its totient is φ = 757172385792.

The previous prime is 2146563500533. The next prime is 2146563500539. The reversal of 2146563500536 is 6350053656412.

It is an interprime number because it is at equal distance from previous prime (2146563500533) and next prime (2146563500539).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146563500531) 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, 4329216 + ... + 4799503.

It is an arithmetic number, because the mean of its divisors is an integer number (43133202000).

Almost surely, 22146563500536 is an apocalyptic number.

2146563500536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2146563500536 is an abundant number, since it is smaller than the sum of its proper divisors (3374486355464).

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

2146563500536 is a wasteful number, since it uses less digits than its factorization.

2146563500536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128781 (or 9128777 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 2146563500536 in words is "two trillion, one hundred forty-six billion, five hundred sixty-three million, five hundred thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 17 19 26 28 34 38 52 56 68 76 91 104 119 133 136 152 182 221 238 247 266 323 364 442 476 494 532 646 728 884 952 988 1064 1292 1547 1729 1768 1976 2261 2584 3094 3458 4199 4522 6188 6916 8398 9044 12376 13832 16796 18088 29393 33592 58786 117572 235144 9128719 18257438 36514876 63901033 73029752 118673347 127802066 155188223 173445661 237346694 255604132 310376446 346891322 474693388 511208264 620752892 693782644 830713429 949386776 1086317561 1214119627 1241505784 1387565288 1661426858 2017446899 2172635122 2254793593 2428239254 2948576237 3322853716 4034893798 4345270244 4509587186 4856478508 5897152474 6645707432 8069787596 8690540488 9019174372 9712957016 11794304948 14122128293 15783555151 16139575192 18038348744 20640033659 23588609896 28244256586 31567110302 38331491081 41280067318 56488513172 63134220604 76662982162 82560134636 112977026344 126268441208 153325964324 165120269272 268320437567 306651928648 536640875134 1073281750268 2146563500536