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13864355472 = 24311231995737
BaseRepresentation
bin11001110100110000…
…10100011010010000
31022210020020020021010
430322120110122100
5211343233333342
610211425130520
71000400035302
oct147230243220
938706206233
1013864355472
115975081520
12282b189a40
1313cc498146
14957487972
1556228c29c
hex33a614690

13864355472 has 160 divisors (see below), whose sum is σ = 40983091200. Its totient is φ = 3997762560.

The previous prime is 13864355471. The next prime is 13864355513. The reversal of 13864355472 is 27455346831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13864355471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413788 + ... + 2419524.

It is an arithmetic number, because the mean of its divisors is an integer number (256144320).

Almost surely, 213864355472 is an apocalyptic number.

13864355472 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 13864355472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491545600).

13864355472 is an abundant number, since it is smaller than the sum of its proper divisors (27118735728).

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

13864355472 is a wasteful number, since it uses less digits than its factorization.

13864355472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5975 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The spelling of 13864355472 in words is "thirteen billion, eight hundred sixty-four million, three hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 199 253 264 276 368 398 506 528 552 597 759 796 1012 1104 1194 1518 1592 2024 2189 2388 3036 3184 4048 4378 4577 4776 5737 6072 6567 8756 9154 9552 11474 12144 13134 13731 17211 17512 18308 22948 26268 27462 34422 35024 36616 45896 50347 52536 54924 63107 68844 73232 91792 100694 105072 109848 126214 131951 137688 151041 189321 201388 219696 252428 263902 275376 302082 378642 395853 402776 504856 527804 604164 757284 791706 805552 1009712 1055608 1141663 1208328 1451461 1514568 1583412 2111216 2283326 2416656 2902922 3029136 3166824 3424989 4354383 4566652 5805844 6333648 6849978 8708766 9133304 11611688 12558293 13699956 17417532 18266608 23223376 25116586 26258249 27399912 34835064 37674879 50233172 52516498 54799824 69670128 75349758 78774747 100466344 105032996 150699516 157549494 200932688 210065992 288840739 301399032 315098988 420131984 577681478 602798064 630197976 866522217 1155362956 1260395952 1733044434 2310725912 3466088868 4621451824 6932177736 13864355472