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66700936560 = 24352392913007
BaseRepresentation
bin111110000111101011…
…111000010101110000
320101011111120122121210
4332013223320111300
52043100414432220
650350400320120
74550624414616
oct760753702560
9211144518553
1066700936560
1126318a37965
1210b16013040
13639cb026cb
14332a8016b6
151b05b956e0
hexf87af8570

66700936560 has 160 divisors (see below), whose sum is σ = 216011888640. Its totient is φ = 16993951744.

The previous prime is 66700936459. The next prime is 66700936651. The reversal of 66700936560 is 6563900766.

It is a super-2 number, since 2×667009365602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5121577 + ... + 5134583.

It is an arithmetic number, because the mean of its divisors is an integer number (1350074304).

Almost surely, 266700936560 is an apocalyptic number.

66700936560 is a gapful number since it is divisible by the number (60) 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 66700936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108005944320).

66700936560 is an abundant number, since it is smaller than the sum of its proper divisors (149310952080).

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

66700936560 is a wasteful number, since it uses less digits than its factorization.

66700936560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13975 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 66700936560 in words is "sixty-six billion, seven hundred million, nine hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 929 1104 1380 1840 1858 2760 2787 3716 4645 5520 5574 7432 9290 11148 13007 13935 14864 18580 21367 22296 26014 27870 37160 39021 42734 44592 52028 55740 64101 65035 74320 78042 85468 104056 106835 111480 128202 130070 156084 170936 195105 208112 213670 222960 256404 260140 299161 312168 320505 341872 390210 427340 512808 520280 598322 624336 641010 780420 854680 897483 1025616 1040560 1196644 1282020 1495805 1560840 1709360 1794966 2393288 2564040 2991610 3121680 3589932 4487415 4786576 5128080 5983220 7179864 8974830 11966440 12083503 14359728 17949660 23932880 24167006 35899320 36250509 48334012 60417515 71798640 72501018 96668024 120835030 145002036 181252545 193336048 241670060 277920569 290004072 362505090 483340120 555841138 580008144 725010180 833761707 966680240 1111682276 1389602845 1450020360 1667523414 2223364552 2779205690 2900040720 3335046828 4168808535 4446729104 5558411380 6670093656 8337617070 11116822760 13340187312 16675234140 22233645520 33350468280 66700936560