Search a number
-
+
20308848693156 = 2234192131772
BaseRepresentation
bin1001001111000100001011…
…01101100100111110100100
32122220111200120202201110000
410213202011231210332210
510130220010231140111
6111105431205301300
74164160126423422
oct447420555447644
978814616681400
1020308848693156
11651aa30700491
12233bba8404830
13b44168426c4a
14502d4c66a112
1525342e2d4c56
hex127885b64fa4

20308848693156 has 135 divisors (see below), whose sum is σ = 56036943334449. Its totient is φ = 6412833934272.

The previous prime is 20308848693113. The next prime is 20308848693167. The reversal of 20308848693156 is 65139684880302.

It is a happy number.

The square root of 20308848693156 is 4506534.

It is a perfect power (a square), and thus also a powerful number.

20308848693156 is a `hidden beast` number, since 2 + 0 + 308 + 8 + 4 + 8 + 6 + 9 + 315 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13104906804900 + 7203941888256 = 3620070^2 + 2684016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20308848693093 and 20308848693102.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1541228040 + ... + 1541241216.

Almost surely, 220308848693156 is an apocalyptic number.

20308848693156 is the 4506534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20308848693156

20308848693156 is an abundant number, since it is smaller than the sum of its proper divisors (35728094641293).

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

20308848693156 is an frugal number, since it uses more digits than its factorization.

20308848693156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26408 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 20308848693156 in words is "twenty trillion, three hundred eight billion, eight hundred forty-eight million, six hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 4332 6156 6498 9747 12996 13177 19494 26354 29241 38988 39531 52708 58482 79062 116964 118593 158124 237186 250363 355779 474372 500726 711558 751089 1001452 1067337 1423116 1502178 2134674 2253267 3004356 4269348 4506534 4756897 6759801 9013068 9513794 13519602 14270691 19027588 20279403 27039204 28541382 40558806 42812073 57082764 81117612 85624146 128436219 171248292 173633329 256872438 347266658 385308657 513744876 520899987 694533316 770617314 1041799974 1541234628 1562699961 2083599948 3125399922 3299033251 4688099883 6250799844 6598066502 9376199766 9897099753 13196133004 14064299649 18752399532 19794199506 28128599298 29691299259 39588399012 56257198596 59382598518 62681631769 89073897777 118765197036 125363263538 178147795554 188044895307 250726527076 267221693331 356295591108 376089790614 534443386662 564134685921 752179581228 1068886773324 1128269371842 1692404057763 2256538743684 3384808115526 5077212173289 6769616231052 10154424346578 20308848693156