Search a number
-
+
6492958381464 = 23319103201168743
BaseRepresentation
bin101111001111100001001…
…1110100101010110011000
3211222201110102200222110020
41132133002132211112120
51322340034321201324
621450453543550440
71240046363422452
oct136370236452630
924881412628406
106492958381464
11208371480a6a5
1288a46675b420
1338138b692489
14186391b412d2
15b3d6b7d0679
hex5e7c27a5598

6492958381464 has 128 divisors (see below), whose sum is σ = 17261453414400. Its totient is φ = 2029461816960.

The previous prime is 6492958381453. The next prime is 6492958381489. The reversal of 6492958381464 is 4641838592946.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94418277 + ... + 94487019.

It is an arithmetic number, because the mean of its divisors is an integer number (134855104800).

Almost surely, 26492958381464 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 6492958381464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630726707200).

6492958381464 is an abundant number, since it is smaller than the sum of its proper divisors (10768495032936).

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

6492958381464 is a wasteful number, since it uses less digits than its factorization.

6492958381464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70885 (or 70881 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 69.

The spelling of 6492958381464 in words is "six trillion, four hundred ninety-two billion, nine hundred fifty-eight million, three hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 206 228 309 412 456 618 824 1236 1957 2011 2472 3914 4022 5871 6033 7828 8044 11742 12066 15656 16088 23484 24132 38209 46968 48264 68743 76418 114627 137486 152836 206229 207133 229254 274972 305672 412458 414266 458508 549944 621399 824916 828532 917016 1242798 1306117 1649832 1657064 2485596 2612234 3918351 3935527 4971192 5224468 7080529 7836702 7871054 10448936 11806581 14161058 15673404 15742108 21241587 23613162 28322116 31346808 31484216 42483174 47226324 56644232 84966348 94452648 134530051 138242173 169932696 269060102 276484346 403590153 414726519 538120204 552968692 807180306 829453038 1076240408 1105937384 1614360612 1658906076 2626601287 3228721224 3317812152 5253202574 7879803861 10506405148 14238943819 15759607722 21012810296 28477887638 31519215444 42716831457 56955775276 63038430888 85433662914 113911550552 170867325828 270539932561 341734651656 541079865122 811619797683 1082159730244 1623239595366 2164319460488 3246479190732 6492958381464