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2263773013056 = 2634208972
BaseRepresentation
bin100000111100010011011…
…000101110010001000000
322000102012020022021010000
4200330103120232101000
5244042201342404211
64451544000040000
7322360256056602
oct40742330562100
98012166267100
102263773013056
117a3073938655
12306899003000
1313561bbb9419
147b7d256d172
153dd4503e656
hex20f1362e440

2263773013056 has 105 divisors (see below), whose sum is σ = 6710853526069. Its totient is φ = 754554894336.

The previous prime is 2263773012973. The next prime is 2263773013057. The reversal of 2263773013056 is 6503103773622.

The square root of 2263773013056 is 1504584.

It is a perfect power (a square), and thus also a powerful number.

2263773013056 is a `hidden beast` number, since 2 + 2 + 6 + 37 + 7 + 301 + 305 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1342910145600 + 920862867456 = 1158840^2 + 959616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263773013057) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 108319600 + ... + 108340496.

Almost surely, 22263773013056 is an apocalyptic number.

2263773013056 is the 1504584-th square number.

It is an amenable number.

2263773013056 is an abundant number, since it is smaller than the sum of its proper divisors (4447080513013).

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

2263773013056 is an frugal number, since it uses more digits than its factorization.

2263773013056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41818 (or 20902 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

Adding to 2263773013056 its reverse (6503103773622), we get a palindrome (8766876786678).

The spelling of 2263773013056 in words is "two trillion, two hundred sixty-three billion, seven hundred seventy-three million, thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 20897 41794 62691 83588 125382 167176 188073 250764 334352 376146 501528 564219 668704 752292 1003056 1128438 1337408 1504584 1692657 2006112 2256876 3009168 3385314 4012224 4513752 6018336 6770628 9027504 12036672 13541256 18055008 27082512 36110016 54165024 108330048 436684609 873369218 1310053827 1746738436 2620107654 3493476872 3930161481 5240215308 6986953744 7860322962 10480430616 11790484443 13973907488 15720645924 20960861232 23580968886 27947814976 31441291848 35371453329 41921722464 47161937772 62882583696 70742906658 83843444928 94323875544 125765167392 141485813316 188647751088 251530334784 282971626632 377295502176 565943253264 754591004352 1131886506528 2263773013056