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20315124465104 = 2476722333136677
BaseRepresentation
bin1001001111001111110111…
…10001101111110111010000
32122221002212221201222010002
410213213323301233313100
510130320333330340404
6111112350033025132
74164501502542560
oct447477361576720
978832787658102
1020315124465104
116522661167877
12234125a0b51a8
13b44928689a81
14503385d42da0
1525369a242c1e
hex1279fbc6fdd0

20315124465104 has 160 divisors (see below), whose sum is σ = 45999418515456. Its totient is φ = 8512047751680.

The previous prime is 20315124465079. The next prime is 20315124465113. The reversal of 20315124465104 is 40156442151302.

It is a super-2 number, since 2×203151244651042 (a number of 27 digits) contains 22 as substring.

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, 553874414 + ... + 553911090.

Almost surely, 220315124465104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20315124465104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999709257728).

20315124465104 is an abundant number, since it is smaller than the sum of its proper divisors (25684294050352).

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

20315124465104 is a wasteful number, since it uses less digits than its factorization.

20315124465104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37313 (or 37307 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 20315124465104 in words is "twenty trillion, three hundred fifteen billion, one hundred twenty-four million, four hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 223 268 331 446 469 536 662 892 938 1072 1324 1561 1784 1876 2317 2648 3122 3568 3752 4634 5296 6244 7504 9268 12488 14941 18536 22177 24976 29882 36677 37072 44354 59764 73354 73813 88708 104587 119528 146708 147626 155239 177416 209174 239056 256739 293416 295252 310478 354832 418348 513478 516691 586832 590504 620956 836696 1026956 1033382 1181008 1241912 1673392 2053912 2066764 2457359 2483824 4107824 4133528 4914718 4945471 8178971 8267056 9829436 9890942 12140087 16357942 17201513 19658872 19781884 24280174 32715884 34403026 34618297 39317744 39563768 48560348 57252797 65431768 68806052 69236594 79127536 84980609 97120696 114505594 130863536 137612104 138473188 169961218 194241392 229011188 275224208 276946376 339922436 458022376 547991057 553892752 679844872 813385829 916044752 1095982114 1359689744 1626771658 2191964228 2707239401 3253543316 3835937399 4383928456 5414478802 5693700803 6507086632 7671874798 8767856912 10828957604 11387401606 13014173264 15343749596 18950675807 21657915208 22774803212 30687499192 37901351614 43315830416 45549606424 61374998384 75802703228 91099212848 151605406456 181385039867 303210812912 362770079734 725540159468 1269695279069 1451080318936 2539390558138 2902160637872 5078781116276 10157562232552 20315124465104