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3743922672 = 243275217129
BaseRepresentation
bin1101111100100111…
…1011100111110000
3100122220211222101200
43133021323213300
530131421011142
61415301131200
7161530550310
oct33711734760
910586758350
103743922672
11165138a576
128859b9b00
13478861a79
14277335440
1516da4064c
hexdf27b9f0

3743922672 has 120 divisors (see below), whose sum is σ = 11999276640. Its totient is φ = 1067489280.

The previous prime is 3743922671. The next prime is 3743922719. The reversal of 3743922672 is 2762293473.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743922671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521604 + ... + 528732.

It is an arithmetic number, because the mean of its divisors is an integer number (99993972).

Almost surely, 23743922672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743922672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999638320).

3743922672 is an abundant number, since it is smaller than the sum of its proper divisors (8255353968).

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

3743922672 is a wasteful number, since it uses less digits than its factorization.

3743922672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7662 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 3743922672 is about 61187.6022736632. The cubic root of 3743922672 is about 1552.7765249149.

The spelling of 3743922672 in words is "three billion, seven hundred forty-three million, nine hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 521 1008 1042 1563 2084 3126 3647 4168 4689 6252 7129 7294 8336 9378 10941 12504 14258 14588 18756 21387 21882 25008 28516 29176 32823 37512 42774 43764 49903 57032 58352 64161 65646 75024 85548 87528 99806 114064 128322 131292 149709 171096 175056 199612 256644 262584 299418 342192 399224 449127 513288 525168 598836 798448 898254 1026576 1197672 1796508 2395344 3593016 3714209 7186032 7428418 11142627 14856836 22285254 25999463 29713672 33427881 44570508 51998926 59427344 66855762 77998389 89141016 103997852 133711524 155996778 178282032 207995704 233995167 267423048 311993556 415991408 467990334 534846096 623987112 935980668 1247974224 1871961336 3743922672