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3741281664 = 273172772069
BaseRepresentation
bin1101111011111111…
…0110110110000000
3100122201212210121120
43132333312312000
530130232003124
61415124352240
7161466240501
oct33677666600
910581783546
103741281664
11164a94631a
12884b45680
13478148943
14276c48ba8
1516d6bcd79
hexdeff6d80

3741281664 has 128 divisors (see below), whose sum is σ = 10565445600. Its totient is φ = 1168932864.

The previous prime is 3741281653. The next prime is 3741281671. The reversal of 3741281664 is 4661821473.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1807222 + ... + 1809290.

Almost surely, 23741281664 is an apocalyptic number.

3741281664 is a gapful number since it is divisible by the number (34) 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 3741281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282722800).

3741281664 is an abundant number, since it is smaller than the sum of its proper divisors (6824163936).

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

3741281664 is a wasteful number, since it uses less digits than its factorization.

3741281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2368 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 3741281664 is about 61166.0172317930. The cubic root of 3741281664 is about 1552.4113232948.

The spelling of 3741281664 in words is "three billion, seven hundred forty-one million, two hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 277 384 408 544 554 816 831 1088 1108 1632 1662 2069 2176 2216 3264 3324 4138 4432 4709 6207 6528 6648 8276 8864 9418 12414 13296 14127 16552 17728 18836 24828 26592 28254 33104 35173 35456 37672 49656 53184 56508 66208 70346 75344 99312 105519 106368 113016 132416 140692 150688 198624 211038 226032 264832 281384 301376 397248 422076 452064 562768 573113 602752 794496 844152 904128 1125536 1146226 1688304 1719339 1808256 2251072 2292452 3376608 3438678 4502144 4584904 6753216 6877356 9169808 9742921 13506432 13754712 18339616 19485842 27509424 29228763 36679232 38971684 55018848 58457526 73358464 77943368 110037696 116915052 155886736 220075392 233830104 311773472 467660208 623546944 935320416 1247093888 1870640832 3741281664