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3743113472 = 28723197461
BaseRepresentation
bin1101111100011011…
…0110000100000000
3100122212022212101022
43133012312010000
530131214112342
61415231525012
7161520640160
oct33706660400
910585285338
103743113472
11165098760a
12885689768
1347863a657
142771a45a0
1516d9309d2
hexdf1b6100

3743113472 has 144 divisors (see below), whose sum is σ = 8974893312. Its totient is φ = 1523343360.

The previous prime is 3743113469. The next prime is 3743113489. The reversal of 3743113472 is 2743113473.

It is a super-3 number, since 3×37431134723 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119322 + ... + 8119782.

It is an arithmetic number, because the mean of its divisors is an integer number (62325648).

Almost surely, 23743113472 is an apocalyptic number.

3743113472 is a gapful number since it is divisible by the number (32) 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 3743113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487446656).

3743113472 is an abundant number, since it is smaller than the sum of its proper divisors (5231779840).

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

3743113472 is a wasteful number, since it uses less digits than its factorization.

3743113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 3743113472 is about 61180.9894656829. The cubic root of 3743113472 is about 1552.6646460639.

Subtracting from 3743113472 its reverse (2743113473), we obtain a palindrome (999999999).

The spelling of 3743113472 in words is "three billion, seven hundred forty-three million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 197 224 256 322 368 394 448 461 644 736 788 896 922 1288 1379 1472 1576 1792 1844 2576 2758 2944 3152 3227 3688 4531 5152 5516 5888 6304 6454 7376 9062 10304 10603 11032 12608 12908 14752 18124 20608 21206 22064 25216 25816 29504 31717 36248 41216 42412 44128 50432 51632 59008 63434 72496 74221 84824 88256 90817 103264 118016 126868 144992 148442 169648 176512 181634 206528 253736 289984 296884 339296 353024 363268 413056 507472 579968 593768 635719 678592 726536 826112 1014944 1159936 1187536 1271438 1357184 1453072 2029888 2088791 2375072 2542876 2714368 2906144 4059776 4177582 4750144 5085752 5812288 8119552 8355164 9500288 10171504 11624576 14621537 16710328 19000576 20343008 23249152 29243074 33420656 40686016 58486148 66841312 81372032 116972296 133682624 162744064 233944592 267365248 467889184 534730496 935778368 1871556736 3743113472