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13316374272 = 2831071311237
BaseRepresentation
bin11000110011011011…
…11011111100000000
31021101001002220101010
430121231323330000
5204232442434042
610041212040520
7650664212415
oct143155737400
937331086333
1013316374272
1157138230a3
1226b7763140
131342ab3806
149047a210c
1552e0e759c
hex319b7bf00

13316374272 has 144 divisors (see below), whose sum is σ = 36074408832. Its totient is φ = 4360212480.

The previous prime is 13316374271. The next prime is 13316374277. The reversal of 13316374272 is 27247361331.

It is a self number, because there is not a number n which added to its sum of digits gives 13316374272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13316374271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10764438 + ... + 10765674.

It is an arithmetic number, because the mean of its divisors is an integer number (250516728).

Almost surely, 213316374272 is an apocalyptic number.

13316374272 is a gapful number since it is divisible by the number (12) 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 13316374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18037204416).

13316374272 is an abundant number, since it is smaller than the sum of its proper divisors (22758034560).

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

13316374272 is a wasteful number, since it uses less digits than its factorization.

13316374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The spelling of 13316374272 in words is "thirteen billion, three hundred sixteen million, three hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 131 192 214 256 262 321 384 393 428 524 642 768 786 856 1048 1237 1284 1572 1712 2096 2474 2568 3144 3424 3711 4192 4948 5136 6288 6848 7422 8384 9896 10272 12576 13696 14017 14844 16768 19792 20544 25152 27392 28034 29688 33536 39584 41088 42051 50304 56068 59376 79168 82176 84102 100608 112136 118752 132359 158336 162047 168204 224272 237504 264718 316672 324094 336408 397077 448544 475008 486141 529436 648188 672816 794154 897088 950016 972282 1058872 1296376 1345632 1588308 1794176 1944564 2117744 2592752 2691264 3176616 3588352 3889128 4235488 5185504 5382528 6353232 7778256 8470976 10371008 10765056 12706464 15556512 16941952 17339029 20742016 25412928 31113024 33883904 34678058 41484032 50825856 52017087 62226048 69356116 101651712 104034174 124452096 138712232 208068348 277424464 416136696 554848928 832273392 1109697856 1664546784 2219395712 3329093568 4438791424 6658187136 13316374272