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109857051648 = 2103237322169
BaseRepresentation
bin110011001001111111…
…1011001010000000000
3101111120010102110002200
41212103333121100000
53244441401123043
6122245001513200
710636234350261
oct1462377312000
9344503373080
10109857051648
1142654494983
121935aaa2800
13a4899c9896
145462212968
152cce7ac7d3
hex1993fd9400

109857051648 has 132 divisors (see below), whose sum is σ = 325784103060. Its totient is φ = 35629203456.

The previous prime is 109857051643. The next prime is 109857051659. The reversal of 109857051648 is 846150758901.

It is a happy number.

109857051648 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 570 + 5 + 1 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73653617664 + 36203433984 = 271392^2 + 190272^2 .

It is a super-3 number, since 3×1098570516483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109857051594 and 109857051603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109857051643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179908 + ... + 502076.

Almost surely, 2109857051648 is an apocalyptic number.

109857051648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109857051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162892051530).

109857051648 is an abundant number, since it is smaller than the sum of its proper divisors (215927051412).

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

109857051648 is a wasteful number, since it uses less digits than its factorization.

109857051648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322232 (or 322211 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 109857051648 in words is "one hundred nine billion, eight hundred fifty-seven million, fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2304 2368 2664 3072 3552 4608 4736 5328 7104 9216 9472 10656 14208 18944 21312 28416 37888 42624 56832 85248 113664 170496 322169 340992 644338 966507 1288676 1933014 2577352 2899521 3866028 5154704 5799042 7732056 10309408 11598084 11920253 15464112 20618816 23196168 23840506 30928224 35760759 41237632 46392336 47681012 61856448 71521518 82475264 92784672 95362024 107282277 123712896 143043036 164950528 185569344 190724048 214564554 247425792 286086072 329901056 371138688 381448096 429129108 494851584 572172144 742277376 762896192 858258216 989703168 1144344288 1484554752 1525792384 1716516432 2288688576 2969109504 3051584768 3433032864 4577377152 6103169536 6866065728 9154754304 12206339072 13732131456 18309508608 27464262912 36619017216 54928525824 109857051648