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13374259164 = 2233731755807
BaseRepresentation
bin11000111010010101…
…01111111111011100
31021112002000202112000
430131022233333130
5204342302243124
610051040442300
7652266220140
oct143512577734
937462022460
1013374259164
115743469952
122713019390
131351a9cb26
1490c34d220
1553422d6c9
hex31d2affdc

13374259164 has 96 divisors (see below), whose sum is σ = 39753154560. Its totient is φ = 3809094336.

The previous prime is 13374259133. The next prime is 13374259247. The reversal of 13374259164 is 46195247331.

13374259164 is a `hidden beast` number, since 1 + 337 + 4 + 259 + 1 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211749 + ... + 267555.

It is an arithmetic number, because the mean of its divisors is an integer number (414095360).

Almost surely, 213374259164 is an apocalyptic number.

13374259164 is a gapful number since it is divisible by the number (14) 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 13374259164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19876577280).

13374259164 is an abundant number, since it is smaller than the sum of its proper divisors (26378895396).

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

13374259164 is a wasteful number, since it uses less digits than its factorization.

13374259164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56144 (or 56136 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13374259164 in words is "thirteen billion, three hundred seventy-four million, two hundred fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 317 378 634 756 951 1268 1902 2219 2853 3804 4438 5706 6657 8559 8876 11412 13314 17118 19971 26628 34236 39942 55807 59913 79884 111614 119826 167421 223228 239652 334842 390649 502263 669684 781298 1004526 1171947 1506789 1562596 2009052 2343894 3013578 3515841 4687788 6027156 7031682 10547523 14063364 17690819 21095046 35381638 42190092 53072457 70763276 106144914 123835733 159217371 212289828 247671466 318434742 371507199 477652113 495342932 636869484 743014398 955304226 1114521597 1486028796 1910608452 2229043194 3343564791 4458086388 6687129582 13374259164