Search a number
-
+
10723101696 = 210321768443
BaseRepresentation
bin10011111110010010…
…11000110000000000
31000200022102000011200
421333021120300000
5133430103223241
64532013141200
7526504601106
oct117711306000
930608360150
1010723101696
114602a0301a
1220b318a800
13101b7579b8
1473a1d1c76
1542b5e54b6
hex27f258c00

10723101696 has 132 divisors (see below), whose sum is σ = 32784539112. Its totient is φ = 3364061184.

The previous prime is 10723101691. The next prime is 10723101703. The reversal of 10723101696 is 69610132701.

It is a super-2 number, since 2×107231016962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10723101696.

It is not an unprimeable number, because it can be changed into a prime (10723101691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122451 + ... + 190893.

Almost surely, 210723101696 is an apocalyptic number.

10723101696 is a gapful number since it is divisible by the number (16) 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 10723101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392269556).

10723101696 is an abundant number, since it is smaller than the sum of its proper divisors (22061437416).

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

10723101696 is a wasteful number, since it uses less digits than its factorization.

10723101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68486 (or 68465 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10723101696 in words is "ten billion, seven hundred twenty-three million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 39168 52224 68443 78336 136886 156672 205329 273772 410658 547544 615987 821316 1095088 1163531 1231974 1642632 2190176 2327062 2463948 3285264 3490593 4380352 4654124 4927896 6570528 6981186 8760704 9308248 9855792 10471779 13141056 13962372 17521408 18616496 19711584 20943558 26282112 27924744 35042816 37232992 39423168 41887116 52564224 55849488 70085632 74465984 78846336 83774232 105128448 111698976 148931968 157692672 167548464 210256896 223397952 297863936 315385344 335096928 446795904 595727872 630770688 670193856 893591808 1191455744 1340387712 1787183616 2680775424 3574367232 5361550848 10723101696