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5738540320368 = 2433199547122033
BaseRepresentation
bin101001110000001101110…
…1010000100011001110000
3202022121011202000122122000
41103200123222010121300
51223010012310222433
620112125442414000
71131411243622542
oct123403352043160
922277152018560
105738540320368
111912779453299
12788201661300
133281b006aaab
1415ba6544d692
159e41507d113
hex5381ba84670

5738540320368 has 160 divisors (see below), whose sum is σ = 16584908736000. Its totient is φ = 1899739505664.

The previous prime is 5738540320339. The next prime is 5738540320369. The reversal of 5738540320368 is 8630230458375.

It is a happy number.

5738540320368 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 540 + 32 + 0 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738540320369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46963480 + ... + 47085512.

It is an arithmetic number, because the mean of its divisors is an integer number (103655679600).

Almost surely, 25738540320368 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 5738540320368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292454368000).

5738540320368 is an abundant number, since it is smaller than the sum of its proper divisors (10846368415632).

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

5738540320368 is a wasteful number, since it uses less digits than its factorization.

5738540320368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122796 (or 122784 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5738540320368 in words is "five trillion, seven hundred thirty-eight billion, five hundred forty million, three hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 547 597 796 1094 1194 1592 1641 1791 2188 2388 3184 3282 3582 4376 4776 4923 5373 6564 7164 8752 9552 9846 10746 13128 14328 14769 19692 21492 26256 28656 29538 39384 42984 59076 78768 85968 108853 118152 122033 217706 236304 244066 326559 366099 435412 488132 653118 732198 870824 976264 979677 1098297 1306236 1464396 1741648 1952528 1959354 2196594 2612472 2928792 2939031 3294891 3918708 4393188 5224944 5857584 5878062 6589782 7837416 8786376 11756124 13179564 15674832 17572752 23512248 24284567 26359128 47024496 48569134 52718256 66752051 72853701 97138268 133504102 145707402 194276536 200256153 218561103 267008204 291414804 388553072 400512306 437122206 534016408 582829608 600768459 655683309 801024612 874244412 1068032816 1165659216 1201536918 1311366618 1602049224 1748488824 1802305377 2403073836 2622733236 3204098448 3496977648 3604610754 4806147672 5245466472 7209221508 9612295344 10490932944 13283658149 14418443016 26567316298 28836886032 39850974447 53134632596 79701948894 106269265192 119552923341 159403897788 212538530384 239105846682 318807795576 358658770023 478211693364 637615591152 717317540046 956423386728 1434635080092 1912846773456 2869270160184 5738540320368