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20414436315552 = 2532193730708391
BaseRepresentation
bin1001010010001000110110…
…01110011001000110100000
32200021121020011111200122100
410221010123032121012200
510133432231144044202
6111230132414410400
74204615522414266
oct451043316310640
980247204450570
1020414436315552
116560794107a34
122358555500a00
13b510c4749016
145080c7832436
1525605dd4b41c
hex12911b3991a0

20414436315552 has 72 divisors (see below), whose sum is σ = 61109003460960. Its totient is φ = 6446664097920.

The previous prime is 20414436315541. The next prime is 20414436315557. The reversal of 20414436315552 is 25551363441402.

20414436315552 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 4 + 3 + 631 + 5 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 20414436315498 and 20414436315507.

It is not an unprimeable number, because it can be changed into a prime (20414436315557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1865348724 + ... + 1865359667.

It is an arithmetic number, because the mean of its divisors is an integer number (848736159180).

Almost surely, 220414436315552 is an apocalyptic number.

It is an amenable number.

20414436315552 is an abundant number, since it is smaller than the sum of its proper divisors (40694567145408).

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

20414436315552 is a wasteful number, since it uses less digits than its factorization.

20414436315552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730708426 (or 3730708415 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 20414436315552 its reverse (25551363441402), we get a palindrome (45965799756954).

The spelling of 20414436315552 in words is "twenty trillion, four hundred fourteen billion, four hundred thirty-six million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 3730708391 7461416782 11192125173 14922833564 22384250346 29845667128 33576375519 44768500692 59691334256 67152751038 70883459429 89537001384 119382668512 134305502076 141766918858 179074002768 212650378287 268611004152 283533837716 358148005536 425300756574 537222008304 567067675432 637951134861 850601513148 1074444016608 1134135350864 1275902269722 1701203026296 2268270701728 2551804539444 3402406052592 5103609078888 6804812105184 10207218157776 20414436315552