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11754225664 = 2141961619
BaseRepresentation
bin10101111001001101…
…10100000000000000
31010100011122112100021
422330212310000000
5143033040210124
65222205503224
7564165161326
oct127446640000
933304575307
1011754225664
114a91a54795
122340571b14
13115427161c
147d7121d16
1548bdc37e4
hex2bc9b4000

11754225664 has 120 divisors (see below), whose sum is σ = 25191269600. Its totient is φ = 5467668480.

The previous prime is 11754225653. The next prime is 11754225667. The reversal of 11754225664 is 46652245711.

It is a self number, because there is not a number n which added to its sum of digits gives 11754225664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11754225667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18988747 + ... + 18989365.

Almost surely, 211754225664 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 11754225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595634800).

11754225664 is an abundant number, since it is smaller than the sum of its proper divisors (13437043936).

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

11754225664 is an frugal number, since it uses more digits than its factorization.

11754225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 11754225664 in words is "eleven billion, seven hundred fifty-four million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 256 304 488 512 608 619 976 1024 1159 1216 1238 1952 2048 2318 2432 2476 3904 4096 4636 4864 4952 7808 8192 9272 9728 9904 11761 15616 16384 18544 19456 19808 23522 31232 37088 37759 38912 39616 47044 62464 74176 75518 77824 79232 94088 124928 148352 151036 155648 158464 188176 249856 296704 302072 311296 316928 376352 499712 593408 604144 633856 717421 752704 999424 1186816 1208288 1267712 1434842 1505408 2373632 2416576 2535424 2869684 3010816 4747264 4833152 5070848 5739368 6021632 9494528 9666304 10141696 11478736 12043264 18989056 19332608 22957472 24086528 38665216 45914944 48173056 77330432 91829888 96346112 154660864 183659776 192692224 309321728 367319552 618643456 734639104 1469278208 2938556416 5877112832 11754225664