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4861301786896 = 241926724332
BaseRepresentation
bin100011010111101110000…
…1010101000100100010000
3122012201212110221212120111
41012233130022220210100
51114121421224140041
614201130132251104
71011134406254662
oct106573412504420
918181773855514
104861301786896
111604737141165
126661a0170a94
1329355a114699
1412b406dc2532
15866c0e44981
hex46bdc2a8910

4861301786896 has 135 divisors (see below), whose sum is σ = 10114528326021. Its totient is φ = 2263114225152.

The previous prime is 4861301786849. The next prime is 4861301786921. The reversal of 4861301786896 is 6986871031684.

The square root of 4861301786896 is 2204836.

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

It can be written as a sum of positive squares in only one way, i.e., 545145955600 + 4316155831296 = 738340^2 + 2077536^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11227024696 + ... + 11227025128.

Almost surely, 24861301786896 is an apocalyptic number.

4861301786896 is the 2204836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4861301786896

4861301786896 is an abundant number, since it is smaller than the sum of its proper divisors (5253226539125).

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

4861301786896 is an frugal number, since it uses more digits than its factorization.

4861301786896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 4861301786896 in words is "four trillion, eight hundred sixty-one billion, three hundred one million, seven hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 361 433 536 722 866 1072 1273 1444 1732 2546 2888 3464 4489 5092 5776 6928 8227 8978 10184 16454 17956 20368 24187 29011 32908 35912 48374 58022 65816 71824 85291 96748 116044 131632 156313 170582 187489 193496 232088 312626 341164 374978 386992 464176 551209 625252 682328 749956 1102418 1250504 1364656 1499912 1620529 1943737 2204836 2501008 2999824 3241058 3562291 3887474 4409672 6482116 7124582 7774948 8819344 10472971 12561763 12964232 14249164 15549896 20945942 25123526 25928464 28498328 31099792 36931003 41891884 50247052 56996656 67683529 73862006 83783768 100494104 135367058 147724012 167567536 200988208 238673497 270734116 295448024 477346994 541468232 590896048 701689057 841638121 954693988 1082936464 1403378114 1683276242 1909387976 2806756228 3366552484 3818775952 4534796443 5613512456 6733104968 9069592886 11227024912 13466209936 15991124299 18139185772 31982248598 36278371544 63964497196 72556743088 127928994392 255857988784 303831361681 607662723362 1215325446724 2430650893448 4861301786896