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5321878309968 = 24311103267136637
BaseRepresentation
bin100110101110001100010…
…1010101000110001010000
3200211202200211221110021220
41031130120222220301100
51144143201321404333
615152500453445040
71056331051152663
oct115343052506120
920752624843256
105321878309968
111771aa5623970
1271b4ba340780
132c7b0a7788cc
1414581a42d6da
159367a9c28b3
hex4d718aa8c50

5321878309968 has 160 divisors (see below), whose sum is σ = 15149715689472. Its totient is φ = 1596391718400.

The previous prime is 5321878309963. The next prime is 5321878309973. The reversal of 5321878309968 is 8699038781235.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5321878309963) and next prime (5321878309973).

It is a super-2 number, since 2×53218783099682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5321878309963) 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, 145241346 + ... + 145277982.

Almost surely, 25321878309968 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 5321878309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574857844736).

5321878309968 is an abundant number, since it is smaller than the sum of its proper divisors (9827837379504).

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

5321878309968 is a wasteful number, since it uses less digits than its factorization.

5321878309968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39433 (or 39427 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 5321878309968 in words is "five trillion, three hundred twenty-one billion, eight hundred seventy-eight million, three hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 2671 3399 4532 4944 5342 6798 8013 9064 10684 13596 16026 18128 21368 27192 29381 32052 36637 42736 54384 58762 64104 73274 88143 109911 117524 128208 146548 176286 219822 235048 275113 293096 352572 403007 439644 470096 550226 586192 705144 806014 825339 879288 1100452 1209021 1410288 1612028 1650678 1758576 2200904 2418042 3026243 3224056 3301356 3773611 4401808 4836084 6052486 6448112 6602712 7547222 9078729 9672168 11320833 12104972 13205424 15094444 18157458 19344336 22641666 24209944 30188888 36314916 41509721 45283332 48419888 60377776 72629832 83019442 90566664 97857427 124529163 145259664 166038884 181133328 195714854 249058326 293572281 332077768 391429708 498116652 587144562 664155536 782859416 996233304 1076431697 1174289124 1565718832 1992466608 2152863394 2348578248 3229295091 4305726788 4697156496 6458590182 8611453576 10079314981 12917180364 17222907152 20158629962 25834360728 30237944943 40317259924 51668721456 60475889886 80634519848 110872464791 120951779772 161269039696 221744929582 241903559544 332617394373 443489859164 483807119088 665234788746 886979718328 1330469577492 1773959436656 2660939154984 5321878309968