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1201073664 = 2937176571
BaseRepresentation
bin100011110010110…
…1110111000000000
310002201000212022210
41013211232320000
54424433324124
6315103102120
741522646330
oct10745567000
93081025283
101201073664
11566a7a46a
122962a1940
13161aac09b
14b572d0c0
157069da29
hex4796ee00

1201073664 has 160 divisors (see below), whose sum is σ = 3872537856. Its totient is φ = 322928640.

The previous prime is 1201073663. The next prime is 1201073669. The reversal of 1201073664 is 4663701021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201073663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179499 + ... + 186069.

Almost surely, 21201073664 is an apocalyptic number.

1201073664 is a gapful number since it is divisible by the number (14) 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 1201073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936268928).

1201073664 is an abundant number, since it is smaller than the sum of its proper divisors (2671464192).

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

1201073664 is an equidigital number, since it uses as much as digits as its factorization.

1201073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1201073664 is about 34656.5096915428. The cubic root of 1201073664 is about 1062.9754020008.

Adding to 1201073664 its reverse (4663701021), we get a palindrome (5864774685).

The spelling of 1201073664 in words is "one billion, two hundred one million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 512 544 672 714 768 816 896 952 1088 1344 1428 1536 1632 1792 1904 2176 2688 2856 3264 3584 3808 4352 5376 5712 6528 6571 7616 8704 10752 11424 13056 13142 15232 19713 22848 26112 26284 30464 39426 45696 45997 52568 60928 78852 91392 91994 105136 111707 137991 157704 182784 183988 210272 223414 275982 315408 335121 367976 420544 446828 551964 630816 670242 735952 781949 841088 893656 1103928 1261632 1340484 1471904 1563898 1682176 1787312 2207856 2345847 2523264 2680968 2943808 3127796 3364352 3574624 4415712 4691694 5046528 5361936 5887616 6255592 7149248 8831424 9383388 10093056 10723872 11775232 12511184 14298496 17662848 18766776 21447744 23550464 25022368 28596992 35325696 37533552 42895488 50044736 57193984 70651392 75067104 85790976 100089472 150134208 171581952 200178944 300268416 400357888 600536832 1201073664