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7144861696 = 2127297367
BaseRepresentation
bin1101010011101110…
…11111000000000000
3200102221022120200021
412221313133000000
5104113041033241
63140551103224
7342025215400
oct65167370000
920387276607
107144861696
1130370a7385
121474971b14
1389b32611b
144baca8800
152bc3d10d1
hex1a9ddf000

7144861696 has 156 divisors (see below), whose sum is σ = 16837812768. Its totient is φ = 3022258176.

The previous prime is 7144861687. The next prime is 7144861729. The reversal of 7144861696 is 6961684417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19468105 + ... + 19468471.

Almost surely, 27144861696 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 7144861696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418906384).

7144861696 is an abundant number, since it is smaller than the sum of its proper divisors (9692951072).

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

7144861696 is an equidigital number, since it uses as much as digits as its factorization.

7144861696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 7144861696 is about 84527.2837372644. The cubic root of 7144861696 is about 1926.0369245433.

The spelling of 7144861696 in words is "seven billion, one hundred forty-four million, eight hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 128 194 196 224 256 367 388 392 448 512 679 734 776 784 896 1024 1358 1468 1552 1568 1792 2048 2569 2716 2936 3104 3136 3584 4096 4753 5138 5432 5872 6208 6272 7168 9506 10276 10864 11744 12416 12544 14336 17983 19012 20552 21728 23488 24832 25088 28672 35599 35966 38024 41104 43456 46976 49664 50176 71198 71932 76048 82208 86912 93952 99328 100352 142396 143864 152096 164416 173824 187904 198656 200704 249193 284792 287728 304192 328832 347648 375808 397312 498386 569584 575456 608384 657664 695296 751616 996772 1139168 1150912 1216768 1315328 1390592 1503232 1744351 1993544 2278336 2301824 2433536 2630656 2781184 3488702 3987088 4556672 4603648 4867072 5261312 6977404 7974176 9113344 9207296 9734144 10522624 13954808 15948352 18226688 18414592 19468288 27909616 31896704 36453376 36829184 55819232 63793408 72906752 73658368 111638464 127586816 145813504 223276928 255173632 446553856 510347264 893107712 1020694528 1786215424 3572430848 7144861696