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13448321717952 = 2631119335135609
BaseRepresentation
bin1100001110110010111001…
…1100000101011011000000
31202121122110122220111201210
43003230232130011123000
53230314130324433302
644334023530530120
72555415643335522
oct303545634053300
952548418814653
1013448321717952
114315446015a90
12161245b896940
1376722c452274
14346c8ba87a12
15184c4d41166c
hexc3b2e7056c0

13448321717952 has 112 divisors (see below), whose sum is σ = 40859733571200. Its totient is φ = 3860762204160.

The previous prime is 13448321717951. The next prime is 13448321717977. The reversal of 13448321717952 is 25971712384431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 13448321717892 and 13448321717901.

It is not an unprimeable number, because it can be changed into a prime (13448321717951) 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, 167527677 + ... + 167607932.

Almost surely, 213448321717952 is an apocalyptic number.

13448321717952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13448321717952 is an abundant number, since it is smaller than the sum of its proper divisors (27411411853248).

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

13448321717952 is a wasteful number, since it uses less digits than its factorization.

13448321717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335135654 (or 335135644 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 13448321717952 in words is "thirteen trillion, four hundred forty-eight billion, three hundred twenty-one million, seven hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 3344 3648 5016 6688 10032 13376 20064 40128 335135609 670271218 1005406827 1340542436 2010813654 2681084872 3686491699 4021627308 5362169744 6367576571 7372983398 8043254616 10724339488 11059475097 12735153142 14745966796 16086509232 19102729713 21448678976 22118950194 25470306284 29491933592 32173018464 38205459426 44237900388 50940612568 58983867184 64346036928 70043342281 76410918852 88475800776 101881225136 117967734368 140086684562 152821837704 176951601552 203762450272 210130026843 235935468736 280173369124 305643675408 353903203104 407524900544 420260053686 560346738248 611287350816 707806406208 840520107372 1120693476496 1222574701632 1681040214744 2241386952992 3362080429488 4482773905984 6724160858976 13448321717952