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13816896948 = 22331721492971
BaseRepresentation
bin11001101111000110…
…10001110110110100
31022122220221002102000
430313203101312310
5211244111200243
610203012015300
7666252454251
oct146743216664
938586832360
1013816896948
1159503071a8
122817301530
1313c26bc78a
14951052428
1555d0155d3
hex3378d1db4

13816896948 has 144 divisors (see below), whose sum is σ = 38320968000. Its totient is φ = 4304171520.

The previous prime is 13816896923. The next prime is 13816896959. The reversal of 13816896948 is 84969861831.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4649103 + ... + 4652073.

Almost surely, 213816896948 is an apocalyptic number.

13816896948 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 13816896948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160484000).

13816896948 is an abundant number, since it is smaller than the sum of its proper divisors (24504071052).

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

13816896948 is a wasteful number, since it uses less digits than its factorization.

13816896948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3142 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 13816896948 in words is "thirteen billion, eight hundred sixteen million, eight hundred ninety-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 149 153 204 289 298 306 447 459 578 596 612 867 894 918 1156 1341 1734 1788 1836 2533 2601 2682 2971 3468 4023 5066 5202 5364 5942 7599 7803 8046 8913 10132 10404 11884 15198 15606 16092 17826 22797 26739 30396 31212 35652 43061 45594 50507 53478 68391 80217 86122 91188 101014 106956 129183 136782 151521 160434 172244 202028 258366 273564 303042 320868 387549 442679 454563 516732 606084 775098 858619 885358 909126 1162647 1328037 1363689 1550196 1717238 1770716 1818252 2325294 2575857 2656074 2727378 3434476 3984111 4650588 5151714 5312148 5454756 7525543 7727571 7968222 10303428 11952333 15051086 15455142 15936444 22576629 23182713 23904666 30102172 30910284 45153258 46365426 47809332 67729887 90306516 92730852 127934231 135459774 203189661 255868462 270919548 383802693 406379322 511736924 767605386 812758644 1151408079 1535210772 2302816158 3454224237 4605632316 6908448474 13816896948