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4056816053984 = 2541101224313649
BaseRepresentation
bin111011000010001101000…
…101000110111011100000
3112100211100111010021211212
4323002031011012323200
51012431324402211414
612343401531125252
7566044453333301
oct73021505067340
915324314107755
104056816053984
1113245389a0991
125562a35a3828
1323572ca183a5
141004cadc67a8
15707d8e3183e
hex3b08d146ee0

4056816053984 has 96 divisors (see below), whose sum is σ = 8266953895200. Its totient is φ = 1958324224000.

The previous prime is 4056816053963. The next prime is 4056816053989. The reversal of 4056816053984 is 4893506186504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056816053989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 297217592 + ... + 297231240.

It is an arithmetic number, because the mean of its divisors is an integer number (86114103075).

Almost surely, 24056816053984 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 4056816053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133476947600).

4056816053984 is an abundant number, since it is smaller than the sum of its proper divisors (4210137841216).

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

4056816053984 is a wasteful number, since it uses less digits than its factorization.

4056816053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 59.

The spelling of 4056816053984 in words is "four trillion, fifty-six billion, eight hundred sixteen million, fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 328 404 656 808 1312 1616 2243 3232 4141 4486 8282 8972 13649 16564 17944 27298 33128 35888 54596 66256 71776 91963 109192 132512 183926 218384 226543 367852 436768 453086 559609 735704 906172 1119218 1378549 1471408 1812344 2238436 2757098 2942816 3624688 4476872 5514196 7249376 8953744 9288263 11028392 17907488 18576526 22056784 30614707 37153052 44113568 56520509 61229414 74306104 113041018 122458828 148612208 226082036 244917656 297224416 452164072 489835312 904328144 979670624 1255202987 1808656288 2510405974 3092085407 5020811948 6184170814 10041623896 12368341628 20083247792 24736683256 40166495584 49473366512 98946733024 126775501687 253551003374 507102006748 1014204013496 2028408026992 4056816053984