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3761045136 = 2437195657
BaseRepresentation
bin1110000000101100…
…1111111010010000
3100201010001220000000
43200023033322100
530200311421021
61421112130000
7162126233112
oct34013177220
910633056000
103761045136
111660014972
1288b696900
1347c2784c4
142797113b2
151702c3b26
hexe02cfe90

3761045136 has 160 divisors (see below), whose sum is σ = 11506108800. Its totient is φ = 1187488512.

The previous prime is 3761045131. The next prime is 3761045137. The reversal of 3761045136 is 6315401673.

3761045136 is a `hidden beast` number, since 3 + 7 + 610 + 4 + 5 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3761045136.

It is not an unprimeable number, because it can be changed into a prime (3761045131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662020 + ... + 667676.

It is an arithmetic number, because the mean of its divisors is an integer number (71913180).

Almost surely, 23761045136 is an apocalyptic number.

3761045136 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 3761045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753054400).

3761045136 is an abundant number, since it is smaller than the sum of its proper divisors (7745063664).

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

3761045136 is an equidigital number, since it uses as much as digits as its factorization.

3761045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3761045136 is about 61327.3604193104. The cubic root of 3761045136 is about 1555.1400825681.

The spelling of 3761045136 in words is "three billion, seven hundred sixty-one million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1944 2052 2187 2736 2916 3078 3888 4104 4374 4617 5657 5832 6156 8208 8748 9234 11314 11664 12312 13851 16971 17496 18468 22628 24624 27702 33942 34992 36936 41553 45256 50913 55404 67884 73872 83106 90512 101826 107483 110808 135768 152739 166212 203652 214966 221616 271536 305478 322449 332424 407304 429932 458217 610956 644898 664848 814608 859864 916434 967347 1221912 1289796 1374651 1719728 1832868 1934694 2443824 2579592 2749302 2902041 3665736 3869388 4123953 5159184 5498604 5804082 7331472 7738776 8247906 8706123 10997208 11608164 12371859 15477552 16495812 17412246 21994416 23216328 24743718 26118369 32991624 34824492 46432656 49487436 52236738 65983248 69648984 78355107 98974872 104473476 139297968 156710214 197949744 208946952 235065321 313420428 417893904 470130642 626840856 940261284 1253681712 1880522568 3761045136