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20416155020316 = 2232114710110860743
BaseRepresentation
bin1001010010001100000011…
…01010101110110000011100
32200021202122221112221100100
410221012001222232300130
510133444241141122231
6111231015132301100
74205006232232326
oct451060152566034
980252587487310
1020416155020316
1165614962962a0
122358955011790
13b513098442a3
1450820bbc6616
1525610eb971e6
hex129181aaec1c

20416155020316 has 144 divisors (see below), whose sum is σ = 58066229265408. Its totient is φ = 5995129584000.

The previous prime is 20416155020309. The next prime is 20416155020369. The reversal of 20416155020316 is 61302055161402.

20416155020316 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 615 + 5 + 0 + 2 + 0 + 31 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550560 + ... + 7310183.

It is an arithmetic number, because the mean of its divisors is an integer number (403237703232).

Almost surely, 220416155020316 is an apocalyptic number.

It is an amenable number.

20416155020316 is an abundant number, since it is smaller than the sum of its proper divisors (37650074245092).

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

20416155020316 is a wasteful number, since it uses less digits than its factorization.

20416155020316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860912 (or 10860907 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20416155020316 in words is "twenty trillion, four hundred sixteen billion, one hundred fifty-five million, twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 101 132 141 188 198 202 282 303 396 404 423 517 564 606 846 909 1034 1111 1212 1551 1692 1818 2068 2222 3102 3333 3636 4444 4653 4747 6204 6666 9306 9494 9999 13332 14241 18612 18988 19998 28482 39996 42723 52217 56964 85446 104434 156651 170892 208868 313302 469953 626604 939906 1879812 10860743 21721486 32582229 43442972 65164458 97746687 119468173 130328916 195493374 238936346 358404519 390986748 477872692 510454921 716809038 1020909842 1075213557 1096935043 1433618076 1531364763 2041819684 2150427114 2193870086 3062729526 3290805129 4300854228 4387740172 4594094289 5615004131 6125459052 6581610258 9188188578 9872415387 11230008262 12066285473 13163220516 16845012393 18376377156 19744830774 22460016524 24132570946 33690024786 36198856419 39489661548 48265141892 50535037179 51555947021 67380049572 72397712838 101070074358 103111894042 108596569257 144795425676 154667841063 202140148716 206223788084 217193138514 309335682126 434386277028 464003523189 567115417231 618671364252 928007046378 1134230834462 1701346251693 1856014092756 2268461668924 3402692503386 5104038755079 6805385006772 10208077510158 20416155020316