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10999408368 = 2431346138237
BaseRepresentation
bin10100011111001110…
…11010011011110000
31001101120022211200010
422033213122123300
5140011322031433
65015243254520
7536401266654
oct121747323360
931346284603
1010999408368
114734974343
12216b81a440
131063a7b280
14764b98a64
154459c3e63
hex28f9da6f0

10999408368 has 80 divisors (see below), whose sum is σ = 30668099616. Its totient is φ = 3377003520.

The previous prime is 10999408367. The next prime is 10999408403. The reversal of 10999408368 is 86380499901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10999408367) by changing a digit.

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, 268546 + ... + 306782.

Almost surely, 210999408368 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 10999408368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334049808).

10999408368 is an abundant number, since it is smaller than the sum of its proper divisors (19668691248).

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

10999408368 is a wasteful number, since it uses less digits than its factorization.

10999408368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38722 (or 38716 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 10999408368 in words is "ten billion, nine hundred ninety-nine million, four hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 461 624 922 1383 1844 2766 3688 5532 5993 7376 11064 11986 17979 22128 23972 35958 38237 47944 71916 76474 95888 114711 143832 152948 229422 287664 305896 458844 497081 611792 917688 994162 1491243 1835376 1988324 2982486 3976648 5964972 7953296 11929944 17627257 23859888 35254514 52881771 70509028 105763542 141018056 211527084 229154341 282036112 423054168 458308682 687463023 846108336 916617364 1374926046 1833234728 2749852092 3666469456 5499704184 10999408368