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20361483016900 = 22522348532
BaseRepresentation
bin1001010000100110001101…
…11101100101101011000100
32200002112112202112101212221
410220103012331211223010
510132100304123020100
6111145534113422124
74201032346664344
oct450230675455304
980075482471787
1020361483016900
1165402903819a3
12234a23756a944
13b49105b968cc
14505702bb4d24
152549b008a01a
hex1284c6f65ac4

20361483016900 has 135 divisors (see below), whose sum is σ = 46247010432231. Its totient is φ = 7781347421760.

The previous prime is 20361483016879. The next prime is 20361483016907. The reversal of 20361483016900 is 961038416302.

The square root of 20361483016900 is 4512370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8142039937476 + 12219443079424 = 2853426^2 + 3495632^2 .

It is a super-2 number, since 2×203614830169002 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20361483016907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23870436874 + ... + 23870437726.

Almost surely, 220361483016900 is an apocalyptic number.

20361483016900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20361483016900 is the 4512370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20361483016900

20361483016900 is an abundant number, since it is smaller than the sum of its proper divisors (25885527415331).

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

20361483016900 is an frugal number, since it uses more digits than its factorization.

20361483016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 20361483016900 in words is "twenty trillion, three hundred sixty-one billion, four hundred eighty-three million, sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 853 1058 1150 1706 2116 2300 2645 3412 4265 5290 8530 10580 12167 13225 17060 19619 21325 24334 26450 39238 42650 48668 52900 60835 78476 85300 98095 121670 196190 243340 279841 304175 392380 451237 490475 559682 608350 727609 902474 980950 1119364 1216700 1399205 1455218 1804948 1961900 2256185 2798410 2910436 3638045 4512370 5596820 6996025 7276090 9024740 10378451 11280925 13992050 14552180 16735007 18190225 20756902 22561850 27984100 33470014 36380450 41513804 45123700 51892255 66940028 72760900 83675035 103784510 167350070 207569020 238704373 259461275 334700140 384905161 418375175 477408746 518922550 769810322 836750350 954817492 1037845100 1193521865 1539620644 1673500700 1924525805 2387043730 3849051610 4774087460 5967609325 7698103220 8852818703 9622629025 11935218650 17705637406 19245258050 23870437300 35411274812 38490516100 44264093515 88528187030 177056374060 203614830169 221320467575 407229660338 442640935150 814459320676 885281870300 1018074150845 2036148301690 4072296603380 5090370754225 10180741508450 20361483016900