Search a number
-
+
59994041472 = 273343140277
BaseRepresentation
bin110111110111111011…
…000110110010000000
312201212002101002012000
4313313323012302000
51440331433311342
643321052304000
74222464636621
oct676773066200
9181762332160
1059994041472
1123497088362
12b763a72000
135871452031
142c91b81a48
151861e7744c
hexdf7ec6c80

59994041472 has 128 divisors (see below), whose sum is σ = 177480979200. Its totient is φ = 19951119360.

The previous prime is 59994041467. The next prime is 59994041507. The reversal of 59994041472 is 27414049995.

59994041472 is a `hidden beast` number, since 5 + 9 + 99 + 40 + 41 + 472 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1469398 + ... + 1509674.

It is an arithmetic number, because the mean of its divisors is an integer number (1386570150).

Almost surely, 259994041472 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 59994041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88740489600).

59994041472 is an abundant number, since it is smaller than the sum of its proper divisors (117486937728).

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

59994041472 is a wasteful number, since it uses less digits than its factorization.

59994041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40731 (or 40713 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 59994041472 in words is "fifty-nine billion, nine hundred ninety-four million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 431 432 576 862 864 1152 1293 1724 1728 2586 3448 3456 3879 5172 6896 7758 10344 11637 13792 15516 20688 23274 27584 31032 40277 41376 46548 55168 62064 80554 82752 93096 120831 124128 161108 165504 186192 241662 248256 322216 362493 372384 483324 496512 644432 724986 744768 966648 1087479 1288864 1449972 1489536 1933296 2174958 2577728 2899944 3866592 4349916 5155456 5799888 7733184 8699832 11599776 15466368 17359387 17399664 23199552 34718774 34799328 46399104 52078161 69437548 69598656 104156322 138875096 139197312 156234483 208312644 277750192 312468966 416625288 468703449 555500384 624937932 833250576 937406898 1111000768 1249875864 1666501152 1874813796 2222001536 2499751728 3333002304 3749627592 4999503456 6666004608 7499255184 9999006912 14998510368 19998013824 29997020736 59994041472