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1668655032128 = 26752118713821
BaseRepresentation
bin11000010010000011100…
…101110010011101000000
312220112002102211110202222
4120102003211302131000
5204314401142012003
63314323004230212
7231361553514410
oct30220345623500
95815072743688
101668655032128
1159374429a267
1222b49123b368
13c147981c8c6
145aa98838640
152d613ac0c38
hex18483972740

1668655032128 has 112 divisors (see below), whose sum is σ = 3794554003968. Its totient is φ = 713197056000.

The previous prime is 1668655032119. The next prime is 1668655032131. The reversal of 1668655032128 is 8212305568661.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1668655032128.

It is a congruent number.

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, 436704458 + ... + 436708278.

It is an arithmetic number, because the mean of its divisors is an integer number (33879946464).

Almost surely, 21668655032128 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 1668655032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897277001984).

1668655032128 is an abundant number, since it is smaller than the sum of its proper divisors (2125898971840).

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

1668655032128 is a wasteful number, since it uses less digits than its factorization.

1668655032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The spelling of 1668655032128 in words is "one trillion, six hundred sixty-eight billion, six hundred fifty-five million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 521 1042 1871 2084 3647 3742 3821 4168 7294 7484 7642 8336 13097 14588 14968 15284 16672 26194 26747 29176 29936 30568 33344 52388 53494 58352 59872 61136 104776 106988 116704 119744 122272 209552 213976 233408 244544 419104 427952 838208 855904 974791 1711808 1949582 1990741 3899164 3981482 6823537 7149091 7798328 7962964 13647074 13935187 14298182 15596656 15925928 27294148 27870374 28596364 31193312 31851856 50043637 54588296 55740748 57192728 62386624 63703712 100087274 109176592 111481496 114385456 127407424 200174548 218353184 222962992 228770912 400349096 436706368 445925984 457541824 800698192 891851968 1601396384 3202792768 3724676411 7449352822 14898705644 26072734877 29797411288 52145469754 59594822576 104290939508 119189645152 208581879016 238379290304 417163758032 834327516064 1668655032128