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20374052361504 = 2532717011117169
BaseRepresentation
bin1001010000111101101000…
…01001110101010100100000
32200010201222201222021012120
410220132310021311110200
510132302024401032004
6111155413242224240
74201656003442032
oct450366411652440
980121881867176
1020374052361504
1165456504535a6
122350764ab5080
13b4a359c8291a
14506176279c52
15254e987c03d9
hex1287b4275520

20374052361504 has 96 divisors (see below), whose sum is σ = 53755860936960. Its totient is φ = 6756632064000.

The previous prime is 20374052361493. The next prime is 20374052361527. The reversal of 20374052361504 is 40516325047302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×203740523615042 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 17678632 + ... + 18795800.

It is an arithmetic number, because the mean of its divisors is an integer number (559956884760).

Almost surely, 220374052361504 is an apocalyptic number.

20374052361504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20374052361504 is an abundant number, since it is smaller than the sum of its proper divisors (33381808575456).

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

20374052361504 is a wasteful number, since it uses less digits than its factorization.

20374052361504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118154 (or 1118146 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 20374052361504 in words is "twenty trillion, three hundred seventy-four billion, fifty-two million, three hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 701 813 1084 1402 1626 2103 2168 2804 3252 4206 4336 5608 6504 8412 8672 11216 13008 16824 22432 26016 33648 67296 189971 379942 569913 759884 1117169 1139826 1519768 2234338 2279652 3039536 3351507 4468676 4559304 6079072 6703014 8937352 9118608 13406028 17874704 18237216 26812056 35749408 53624112 107248224 302752799 605505598 783135469 908258397 1211011196 1566270938 1816516794 2349406407 2422022392 3132541876 3633033588 4698812814 4844044784 6265083752 7266067176 9397625628 9688089568 12530167504 14532134352 18795251256 25060335008 29064268704 37590502512 75181005024 212229712099 424459424198 636689136297 848918848396 1273378272594 1697837696792 2546756545188 3395675393584 5093513090376 6791350787168 10187026180752 20374052361504