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5112420467968 = 281119671426151
BaseRepresentation
bin100101001100101010000…
…0000011000010100000000
3200002202001101001121122001
41022121110000120110000
51132230214114433333
614512340305153344
71035234354654412
oct112312400302400
920082041047561
105112420467968
1116a119008a020
126a69a332b854
132b1139b95228
1413962a1d69b2
158cebc084b7d
hex4a654018500

5112420467968 has 144 divisors (see below), whose sum is σ = 11893423127040. Its totient is φ = 2168660736000.

The previous prime is 5112420467939. The next prime is 5112420467983. The reversal of 5112420467968 is 8697640242115.

It is a super-2 number, since 2×51124204679682 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 2871693 + ... + 4297843.

It is an arithmetic number, because the mean of its divisors is an integer number (82593216160).

Almost surely, 25112420467968 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 5112420467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946711563520).

5112420467968 is an abundant number, since it is smaller than the sum of its proper divisors (6781002659072).

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

5112420467968 is a wasteful number, since it uses less digits than its factorization.

5112420467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426264 (or 1426250 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 5112420467968 in words is "five trillion, one hundred twelve billion, four hundred twenty million, four hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 67 76 88 128 134 152 176 209 256 268 304 352 418 536 608 704 737 836 1072 1216 1273 1408 1474 1672 2144 2432 2546 2816 2948 3344 4288 4864 5092 5896 6688 8576 10184 11792 13376 14003 17152 20368 23584 26752 28006 40736 47168 53504 56012 81472 94336 112024 162944 188672 224048 325888 448096 896192 1426151 1792384 2852302 3584768 5704604 11409208 15687661 22818416 27096869 31375322 45636832 54193738 62750644 91273664 95552117 108387476 125501288 182547328 191104234 216774952 251002576 298065559 365094656 382208468 433549904 502005152 596131118 764416936 867099808 1004010304 1051073287 1192262236 1528833872 1734199616 1815490223 2008020608 2102146574 2384524472 3057667744 3468399232 3630980446 4016041216 4204293148 4769048944 6115335488 6936798464 7261960892 8408586296 9538097888 12230670976 14523921784 16817172592 19076195776 19970392453 24461341952 29047843568 33634345184 38152391552 39940784906 58095687136 67268690368 76304783104 79881569812 116191374272 134537380736 159763139624 232382748544 269074761472 319526279248 464765497088 639052558496 1278105116992 2556210233984 5112420467968