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2220759730464 = 253116073464567
BaseRepresentation
bin100000010100001111100…
…110000100100100100000
321212022011120020002222120
4200110033212010210200
5242341103442333324
64420111500104240
7316305332152422
oct40241746044440
97768146202876
102220759730464
11786900a77820
122ba493b35080
13131555781912
14796b1adc812
153cb78c3d179
hex2050f984920

2220759730464 has 96 divisors (see below), whose sum is σ = 6369927008256. Its totient is φ = 671848638720.

The previous prime is 2220759730411. The next prime is 2220759730471. The reversal of 2220759730464 is 4640379570222.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091292 + ... + 2373275.

It is an arithmetic number, because the mean of its divisors is an integer number (66353406336).

Almost surely, 22220759730464 is an apocalyptic number.

2220759730464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2220759730464 is an abundant number, since it is smaller than the sum of its proper divisors (4149167277792).

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

2220759730464 is a wasteful number, since it uses less digits than its factorization.

2220759730464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465198 (or 3465190 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 2220759730464 in words is "two trillion, two hundred twenty billion, seven hundred fifty-nine million, seven hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 607 1056 1214 1821 2428 3642 4856 6677 7284 9712 13354 14568 19424 20031 26708 29136 40062 53416 58272 80124 106832 160248 213664 320496 640992 3464567 6929134 10393701 13858268 20787402 27716536 38110237 41574804 55433072 76220474 83149608 110866144 114330711 152440948 166299216 228661422 304881896 332598432 457322844 609763792 914645688 1219527584 1829291376 2102992169 3658582752 4205984338 6308976507 8411968676 12617953014 16823937352 23132913859 25235906028 33647874704 46265827718 50471812056 67295749408 69398741577 92531655436 100943624112 138797483154 185063310872 201887248224 277594966308 370126621744 555189932616 740253243488 1110379865232 2220759730464