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5131456625640 = 2335791373394241
BaseRepresentation
bin100101010101100001010…
…1001100011101111101000
3200011120012000221121202210
41022223002221203233220
51133033210344010030
614525205244125120
71036510164433362
oct112530251435750
920146160847683
105131456625640
1116a9269541034
126aa6165367a0
132b2b81982657
1413a5144a3d32
158d7333b2bb0
hex4aac2a63be8

5131456625640 has 128 divisors (see below), whose sum is σ = 15600629030400. Its totient is φ = 1350079610880.

The previous prime is 5131456625627. The next prime is 5131456625663. The reversal of 5131456625640 is 465266541315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5131456625640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12818920 + ... + 13213160.

It is an arithmetic number, because the mean of its divisors is an integer number (121879914300).

Almost surely, 25131456625640 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 5131456625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800314515200).

5131456625640 is an abundant number, since it is smaller than the sum of its proper divisors (10469172404760).

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

5131456625640 is a wasteful number, since it uses less digits than its factorization.

5131456625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395707 (or 395703 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 5131456625640 in words is "five trillion, one hundred thirty-one billion, four hundred fifty-six million, six hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1373 1580 1896 2370 2746 3160 4119 4740 5492 6865 8238 9480 10984 13730 16476 20595 27460 32952 41190 54920 82380 108467 164760 216934 325401 394241 433868 542335 650802 788482 867736 1084670 1182723 1301604 1576964 1627005 1971205 2169340 2365446 2603208 3153928 3254010 3942410 4338680 4730892 5913615 6508020 7884820 9461784 11827230 13016040 15769640 23654460 31145039 47308920 62290078 93435117 124580156 155725195 186870234 249160312 311450390 373740468 467175585 541292893 622900780 747480936 934351170 1082585786 1245801560 1623878679 1868702340 2165171572 2706464465 3247757358 3737404680 4330343144 5412928930 6495514716 8119393395 10825857860 12991029432 16238786790 21651715720 32477573580 42762138547 64955147160 85524277094 128286415641 171048554188 213810692735 256572831282 342097108376 427621385470 513145662564 641432078205 855242770940 1026291325128 1282864156410 1710485541880 2565728312820 5131456625640