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1303096444896 = 25397392335671
BaseRepresentation
bin10010111101100110100…
…110011100011111100000
311121120112000212011002110
4102331212212130133200
5132322220142214041
62434344555115320
7163100642011461
oct22754646343740
94546460764073
101303096444896
11462704a76064
12190670442b40
1395b5c77925c
14470da8d8d68
1523d6abba516
hex12f6699c7e0

1303096444896 has 96 divisors (see below), whose sum is σ = 3456870213888. Its totient is φ = 429765857280.

The previous prime is 1303096444891. The next prime is 1303096444907. The reversal of 1303096444896 is 6984446903031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303096444891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36513141 + ... + 36548811.

It is an arithmetic number, because the mean of its divisors is an integer number (36009064728).

Almost surely, 21303096444896 is an apocalyptic number.

1303096444896 is a gapful number since it is divisible by the number (16) 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 1303096444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728435106944).

1303096444896 is an abundant number, since it is smaller than the sum of its proper divisors (2153773768992).

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

1303096444896 is a wasteful number, since it uses less digits than its factorization.

1303096444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39704 (or 39696 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 1303096444896 in words is "one trillion, three hundred three billion, ninety-six million, four hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 3923 4656 7846 9312 11769 15692 23538 31384 35671 47076 62768 71342 94152 107013 125536 142684 188304 214026 285368 376608 380531 428052 570736 761062 856104 1141472 1141593 1522124 1712208 2283186 3044248 3424416 3460087 4566372 6088496 6920174 9132744 10380261 12176992 13840348 18265488 20760522 27680696 36530976 41521044 55361392 83042088 110722784 139937333 166084176 279874666 332168352 419811999 559749332 839623998 1119498664 1679247996 2238997328 3358495992 4477994656 6716991984 13433983968 13573921301 27147842602 40721763903 54295685204 81443527806 108591370408 162887055612 217182740816 325774111224 434365481632 651548222448 1303096444896