Search a number
-
+
156667466112 = 2738931714461
BaseRepresentation
bin1001000111101000011…
…0111101000110000000
3112222101102110212220220
42101322012331012000
510031323332403422
6155545543303040
714214236326653
oct2217206750600
9488342425826
10156667466112
1160495778123
122644374aa80
1311a09a06191
1478230a989a
15411e10ee5c
hex247a1bd180

156667466112 has 128 divisors (see below), whose sum is σ = 422180488800. Its totient is φ = 51469271040.

The previous prime is 156667466107. The next prime is 156667466119. The reversal of 156667466112 is 211664766651.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156667466119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10826562 + ... + 10841022.

Almost surely, 2156667466112 is an apocalyptic number.

156667466112 is a gapful number since it is divisible by the number (12) 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 156667466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211090244400).

156667466112 is an abundant number, since it is smaller than the sum of its proper divisors (265513022688).

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

156667466112 is a wasteful number, since it uses less digits than its factorization.

156667466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14872 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 156667466112 in words is "one hundred fifty-six billion, six hundred sixty-seven million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 317 356 384 534 634 712 951 1068 1268 1424 1902 2136 2536 2848 3804 4272 5072 5696 7608 8544 10144 11392 14461 15216 17088 20288 28213 28922 30432 34176 40576 43383 56426 57844 60864 84639 86766 112852 115688 121728 169278 173532 225704 231376 338556 347064 451408 462752 677112 694128 902816 925504 1287029 1354224 1388256 1805632 1851008 2574058 2708448 2776512 3611264 3861087 4584137 5148116 5416896 5553024 7722174 9168274 10296232 10833792 13752411 15444348 18336548 20592464 27504822 30888696 36673096 41184928 55009644 61777392 73346192 82369856 110019288 123554784 146692384 164739712 220038576 247109568 293384768 407988193 440077152 494219136 586769536 815976386 880154304 1223964579 1631952772 1760308608 2447929158 3263905544 4895858316 6527811088 9791716632 13055622176 19583433264 26111244352 39166866528 52222488704 78333733056 156667466112