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20450515604340 = 22351319103285823
BaseRepresentation
bin1001010011001100000011…
…01101111101001101110100
32200102001100121001110110110
410221212001231331031310
510140030123443314330
6111254500455023020
74210333561333203
oct451460155751564
980361317043413
1020450515604340
116575018a07678
12236354436aa70
13b5462444b603
14509b4b40923a
15256e71520db0
hex129981b7d374

20450515604340 has 96 divisors (see below), whose sum is σ = 57705094250496. Its totient is φ = 5411227835520.

The previous prime is 20450515604291. The next prime is 20450515604381. The reversal of 20450515604340 is 4340651505402.

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, 71406669 + ... + 71692491.

It is an arithmetic number, because the mean of its divisors is an integer number (601094731776).

Almost surely, 220450515604340 is an apocalyptic number.

20450515604340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20450515604340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28852547125248).

20450515604340 is an abundant number, since it is smaller than the sum of its proper divisors (37254578646156).

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

20450515604340 is a wasteful number, since it uses less digits than its factorization.

20450515604340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295069 (or 295067 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 20450515604340 in words is "twenty trillion, four hundred fifty billion, five hundred fifteen million, six hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 9103 18206 27309 36412 45515 54618 91030 109236 136545 182060 273090 285823 546180 571646 857469 1143292 1192493 1429115 1714938 2384986 2858230 3429876 3577479 4287345 4769972 5716460 5962465 7154958 8574690 11924930 14309916 17149380 17887395 23849860 35774790 37442813 71549580 74885626 112328439 149771252 187214065 224656878 374428130 449313756 561642195 748856260 1123284390 2246568780 2601846769 5203693538 7805540307 10407387076 13009233845 15611080614 26018467690 31222161228 39027701535 52036935380 78055403070 156110806140 340841926739 681683853478 1022525780217 1363367706956 1704209633695 2045051560434 3408419267390 4090103120868 5112628901085 6816838534780 10225257802170 20450515604340