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10661200074 = 2347231512707
BaseRepresentation
bin10011110110111010…
…10000000011001010
31000111222221002010000
421323131100003022
5133313231400244
64521522303430
7525123463650
oct117335200312
930458832100
1010661200074
114580a73458
1220964b7b76
13100b993315
14731cbadd0
15425e69169
hex27b7500ca

10661200074 has 160 divisors (see below), whose sum is σ = 28687988736. Its totient is φ = 2893255200.

The previous prime is 10661200061. The next prime is 10661200079. The reversal of 10661200074 is 47000216601.

It is a super-2 number, since 2×106612000742 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10661200079) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3937029 + ... + 3939735.

Almost surely, 210661200074 is an apocalyptic number.

10661200074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661200074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343994368).

10661200074 is an abundant number, since it is smaller than the sum of its proper divisors (18026788662).

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

10661200074 is a wasteful number, since it uses less digits than its factorization.

10661200074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10661200074 its reverse (47000216601), we get a palindrome (57661416675).

The spelling of 10661200074 in words is "ten billion, six hundred sixty-one million, two hundred thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 151 161 162 189 207 302 322 378 414 453 483 567 621 906 966 1057 1134 1242 1359 1449 1863 2114 2707 2718 2898 3171 3473 3726 4077 4347 5414 6342 6946 8121 8154 8694 9513 10419 12231 13041 16242 18949 19026 20838 24311 24363 24462 26082 28539 31257 37898 48622 48726 56847 57078 62261 62514 72933 73089 85617 93771 113694 124522 145866 146178 170541 171234 186783 187542 218799 219267 281313 341082 373566 408757 435827 437598 438534 511623 560349 562626 656397 817514 871654 1023246 1120698 1226271 1307481 1312794 1534869 1681047 1969191 2452542 2614962 2861299 3069738 3362094 3678813 3922443 3938382 5043141 5722598 7357626 7844886 8583897 9401411 10086282 11036439 11767329 17167794 18802822 22072878 23534658 25751691 28204233 33109317 35301987 51503382 56408466 65809877 66218634 70603974 77255073 84612699 131619754 154510146 169225398 197429631 231765219 253838097 394859262 463530438 507676194 592288893 761514291 1184577786 1523028582 1776866679 3553733358 5330600037 10661200074