Search a number
-
+
20445532560336 = 243131423217910567
BaseRepresentation
bin1001010011000010110001…
…01101001001101111010000
32200101120111022120121011010
410221201120231021233100
510134434422313412321
6111252314211050520
74210066233216132
oct451413055115720
980346438517133
1020445532560336
1165729a1130994
1223625935a0a40
13b5400bc78770
145097d76bd052
15256c7dd18676
hex129858b49bd0

20445532560336 has 160 divisors (see below), whose sum is σ = 56952003727360. Its totient is φ = 6283032509952.

The previous prime is 20445532560269. The next prime is 20445532560373. The reversal of 20445532560336 is 63306523554402.

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, 1934842125 + ... + 1934852691.

It is an arithmetic number, because the mean of its divisors is an integer number (355950023296).

Almost surely, 220445532560336 is an apocalyptic number.

20445532560336 is a gapful number since it is divisible by the number (26) 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 20445532560336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476001863680).

20445532560336 is an abundant number, since it is smaller than the sum of its proper divisors (36506471167024).

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

20445532560336 is a wasteful number, since it uses less digits than its factorization.

20445532560336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 20445532560336 in words is "twenty trillion, four hundred forty-five billion, five hundred thirty-two million, five hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1423 2179 2846 4269 4358 5692 6537 8538 8716 10567 11384 13074 17076 17432 18499 21134 22768 26148 28327 31701 34152 34864 36998 42268 52296 55497 56654 63402 68304 73996 84536 84981 104592 110994 113308 126804 137371 147992 169072 169962 221988 226616 253608 274742 295984 339924 412113 443976 453232 507216 549484 679848 824226 887952 1098968 1359696 1648452 2197936 3100717 3296904 6201434 6593808 9302151 12402868 15036841 18604302 23025493 24805736 30073682 37208604 40309321 45110523 46050986 49611472 60147364 69076479 74417208 80618642 90221046 92101972 120294728 120927963 138152958 148834416 161237284 180442092 184203944 195478933 240589456 241855926 276305916 299331409 322474568 360884184 368407888 390957866 483711852 552611832 586436799 598662818 644949136 721768368 781915732 897994227 967423704 1105223664 1172873598 1197325636 1563831464 1795988454 1934847408 2345747196 2394651272 3127662928 3591976908 4691494392 4789302544 7183953816 9382988784 14367907632 32765276539 65530553078 98295829617 131061106156 196591659234 262122212312 393183318468 425948595007 524244424624 786366636936 851897190014 1277845785021 1572733273872 1703794380028 2555691570042 3407588760056 5111383140084 6815177520112 10222766280168 20445532560336