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4061813952384 = 27342851137413
BaseRepresentation
bin111011000110110110111…
…110100100111110000000
3112101022020210112211120000
4323012312332210332000
51013022043332434014
612345545505320000
7566312351635536
oct73066676447600
915338223484500
104061813952384
1113266730a2a31
12557259336000
132360482bc516
14100842a9c156
15709ccac0509
hex3b1b6fa4f80

4061813952384 has 160 divisors (see below), whose sum is σ = 12092220382440. Its totient is φ = 1353453235200.

The previous prime is 4061813952341. The next prime is 4061813952389. The reversal of 4061813952384 is 4832593181604.

It is a happy number.

4061813952384 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 8 + 1 + 39 + 523 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4061813952384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061813952389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29490462 + ... + 29627874.

Almost surely, 24061813952384 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 4061813952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046110191220).

4061813952384 is an abundant number, since it is smaller than the sum of its proper divisors (8030406430056).

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

4061813952384 is a wasteful number, since it uses less digits than its factorization.

4061813952384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140290 (or 140269 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4061813952384 in words is "four trillion, sixty-one billion, eight hundred thirteen million, nine hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2851 3456 5184 5702 8553 10368 11404 17106 22808 25659 34212 45616 51318 68424 76977 91232 102636 136848 137413 153954 182464 205272 230931 273696 274826 307908 364928 410544 412239 461862 547392 549652 615816 821088 824478 923724 1094784 1099304 1231632 1236717 1642176 1648956 1847448 2198608 2463264 2473434 3284352 3297912 3694896 3710151 4397216 4926528 4946868 6595824 7389792 7420302 8794432 9853056 9893736 11130453 13191648 14779584 14840604 17588864 19787472 22260906 26383296 29559168 29681208 39574944 44521812 52766592 59362416 79149888 89043624 118724832 158299776 178087248 237449664 356174496 391764463 474899328 712348992 783528926 1175293389 1424697984 1567057852 2350586778 3134115704 3525880167 4701173556 6268231408 7051760334 9402347112 10577640501 12536462816 14103520668 18804694224 21155281002 25072925632 28207041336 31732921503 37609388448 42310562004 50145851264 56414082672 63465843006 75218776896 84621124008 112828165344 126931686012 150437553792 169242248016 225656330688 253863372024 338484496032 451312661376 507726744048 676968992064 1015453488096 1353937984128 2030906976192 4061813952384