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66541367568 = 24313317943543
BaseRepresentation
bin111101111110001011…
…001011000100010000
320100202101022201010010
4331332023023010100
52042234042230233
650322500234520
74543646202114
oct757613130420
9210671281103
1066541367568
112624695a365
1210a9069ba40
136375a331a0
143313545744
151ae6b75b63
hexf7e2cb110

66541367568 has 160 divisors (see below), whose sum is σ = 193516503040. Its totient is φ = 19562549760.

The previous prime is 66541367549. The next prime is 66541367569. The reversal of 66541367568 is 86576314566.

66541367568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66541367569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506405 + ... + 1549947.

It is an arithmetic number, because the mean of its divisors is an integer number (1209478144).

Almost surely, 266541367568 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 66541367568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96758251520).

66541367568 is an abundant number, since it is smaller than the sum of its proper divisors (126975135472).

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

66541367568 is a wasteful number, since it uses less digits than its factorization.

66541367568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43677 (or 43671 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 66541367568 in words is "sixty-six billion, five hundred forty-one million, three hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 104 124 156 158 186 208 237 248 312 316 372 403 474 496 624 632 744 806 948 1027 1209 1264 1488 1612 1896 2054 2418 2449 3081 3224 3792 4108 4836 4898 6162 6448 7347 8216 9672 9796 12324 14694 16432 19344 19592 24648 29388 31837 39184 43543 49296 58776 63674 87086 95511 117552 127348 130629 174172 191022 254696 261258 348344 382044 509392 522516 566059 696688 764088 1045032 1132118 1349833 1528176 1698177 2090064 2264236 2699666 3396354 3439897 4049499 4528472 5399332 6792708 6879794 8098998 9056944 10319691 10798664 13585416 13759588 16197996 17547829 20639382 21597328 27170832 27519176 32395992 35095658 41278764 44718661 52643487 55038352 64791984 70191316 82557528 89437322 105286974 106636807 134155983 140382632 165115056 178874644 210573948 213273614 268311966 280765264 319910421 357749288 421147896 426547228 536623932 639820842 715498576 842295792 853094456 1073247864 1279641684 1386278491 1706188912 2146495728 2559283368 2772556982 4158835473 5118566736 5545113964 8317670946 11090227928 16635341892 22180455856 33270683784 66541367568