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106502764544 = 211114727573
BaseRepresentation
bin110001100110000001…
…1110011100000000000
3101011220100202000012222
41203030003303200000
53221104201431134
6120532055510212
710460144363501
oct1431403634000
9334810660188
10106502764544
1141193041380
1218783688368
13a073abaa07
145224944ba8
152b85084a2e
hex18cc0f3800

106502764544 has 48 divisors (see below), whose sum is σ = 232312986360. Its totient is φ = 48410337280.

The previous prime is 106502764541. The next prime is 106502764561. The reversal of 106502764544 is 445467205601.

It is a super-2 number, since 2×1065027645442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 106502764495 and 106502764504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106502764541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2341259 + ... + 2386314.

Almost surely, 2106502764544 is an apocalyptic number.

It is an amenable number.

106502764544 is an abundant number, since it is smaller than the sum of its proper divisors (125810221816).

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

106502764544 is an equidigital number, since it uses as much as digits as its factorization.

106502764544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727606 (or 4727586 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 106502764544 in words is "one hundred six billion, five hundred two million, seven hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 11264 22528 4727573 9455146 18910292 37820584 52003303 75641168 104006606 151282336 208013212 302564672 416026424 605129344 832052848 1210258688 1664105696 2420517376 3328211392 4841034752 6656422784 9682069504 13312845568 26625691136 53251382272 106502764544