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13950996048 = 2432112800677
BaseRepresentation
bin11001111111000101…
…10100111001010000
31100000021021000210100
430333202310321100
5212032423333143
610224202132400
71002501336603
oct147742647120
940007230710
1013950996048
115a09a78900
1228541b1100
131414411c62
14964b9c33a
15569ba36d3
hex33f8b4e50

13950996048 has 90 divisors (see below), whose sum is σ = 42915540122. Its totient is φ = 4227569280.

The previous prime is 13950995977. The next prime is 13950996049. The reversal of 13950996048 is 84069905931.

13950996048 is a `hidden beast` number, since 1 + 3 + 9 + 509 + 96 + 0 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10438300224 + 3512695824 = 102168^2 + 59268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13950995985 and 13950996003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13950996049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 382915 + ... + 417762.

Almost surely, 213950996048 is an apocalyptic number.

13950996048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13950996048 is an abundant number, since it is smaller than the sum of its proper divisors (28964544074).

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

13950996048 is a wasteful number, since it uses less digits than its factorization.

13950996048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800713 (or 800693 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13950996048 in words is "thirteen billion, nine hundred fifty million, nine hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 800677 1601354 2402031 3202708 4804062 6405416 7206093 8807447 9608124 12810832 14412186 17614894 19216248 26422341 28824372 35229788 38432496 52844682 57648744 70459576 79267023 96881917 105689364 115297488 140919152 158534046 193763834 211378728 290645751 317068092 387527668 422757456 581291502 634136184 775055336 871937253 1162583004 1268272368 1550110672 1743874506 2325166008 3487749012 4650332016 6975498024 13950996048