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3729157056 = 26341937861
BaseRepresentation
bin1101111001000110…
…0110101111000000
3100121220001210210000
43132101212233000
530114131011211
61414012440000
7161261212002
oct33621465700
910556053700
103729157056
111644014989
12880a79000
13475792011
142753b0372
1516c5c5656
hexde466bc0

3729157056 has 140 divisors (see below), whose sum is σ = 11636507080. Its totient is φ = 1177597440.

The previous prime is 3729157051. The next prime is 3729157063. The reversal of 3729157056 is 6507519273.

3729157056 is a `hidden beast` number, since 3 + 7 + 29 + 1 + 570 + 56 = 666.

3729157056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37291570562 = 27813224696629174272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729157051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79566 + ... + 117426.

Almost surely, 23729157056 is an apocalyptic number.

3729157056 is a gapful number since it is divisible by the number (36) 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 3729157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818253540).

3729157056 is an abundant number, since it is smaller than the sum of its proper divisors (7907350024).

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

3729157056 is a wasteful number, since it uses less digits than its factorization.

3729157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37904 (or 37885 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 3729157056 is about 61066.8245121686. The cubic root of 3729157056 is about 1550.7325092691.

The spelling of 3729157056 in words is "three billion, seven hundred twenty-nine million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 24624 32832 37861 49248 75722 98496 113583 151444 227166 302888 340749 454332 605776 681498 719359 908664 1022247 1211552 1362996 1438718 1817328 2044494 2158077 2423104 2725992 2877436 3066741 3634656 4088988 4316154 5451984 5754872 6133482 6474231 7269312 8177976 8632308 10903968 11509744 12266964 12948462 16355952 17264616 19422693 21807936 23019488 24533928 25896924 32711904 34529232 38845386 46038976 49067856 51793848 58268079 65423808 69058464 77690772 98135712 103587696 116536158 138116928 155381544 196271424 207175392 233072316 310763088 414350784 466144632 621526176 932289264 1243052352 1864578528 3729157056