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1374071727348 = 22326719910492729
BaseRepresentation
bin10011111111101101000…
…011101010010011110100
311212100201102101001222100
4103333231003222103310
5140003044330233343
62531123445502100
7201162530654265
oct23775503522364
94770642331870
101374071727348
1148a816739291
121a2379a11930
139c760c882c8
144a710c6696c
1525b21c289d3
hex13fed0ea4f4

1374071727348 has 144 divisors (see below), whose sum is σ = 3547580400000. Its totient is φ = 448328162304.

The previous prime is 1374071727341. The next prime is 1374071727359. The reversal of 1374071727348 is 8437271704731.

1374071727348 is a `hidden beast` number, since 1 + 37 + 407 + 172 + 7 + 34 + 8 = 666.

It is a super-2 number, since 2×13740717273482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1374071727294 and 1374071727303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374071727341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503506048 + ... + 503508776.

It is an arithmetic number, because the mean of its divisors is an integer number (24635975000).

Almost surely, 21374071727348 is an apocalyptic number.

1374071727348 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 1374071727348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773790200000).

1374071727348 is an abundant number, since it is smaller than the sum of its proper divisors (2173508672652).

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

1374071727348 is a wasteful number, since it uses less digits than its factorization.

1374071727348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 1374071727348 in words is "one trillion, three hundred seventy-four billion, seventy-one million, seven hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 199 201 268 398 402 597 603 796 804 1049 1194 1206 1791 2098 2388 2412 2729 3147 3582 4196 5458 6294 7164 8187 9441 10916 12588 13333 16374 18882 24561 26666 32748 37764 39999 49122 53332 70283 79998 98244 119997 140566 159996 182843 208751 210849 239994 281132 365686 417502 421698 479988 543071 548529 626253 632547 731372 835004 843396 1086142 1097058 1252506 1265094 1629213 1645587 1878759 2172284 2194116 2505012 2530188 2862721 3258426 3291174 3757518 4887639 5725442 6516852 6582348 7515036 8588163 9775278 11450884 13986317 17176326 19550556 25764489 27972634 34352652 36385757 41958951 51528978 55945268 72771514 83917902 103057956 109157271 125876853 145543028 167835804 191802307 218314542 251753706 327471813 383604614 436629084 503507412 569681479 575406921 654943626 767209228 1139362958 1150813842 1309887252 1709044437 1726220763 2278725916 2301627684 3418088874 3452441526 5127133311 6836177748 6904883052 10254266622 20508533244 38168659093 76337318186 114505977279 152674636372 229011954558 343517931837 458023909116 687035863674 1374071727348