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1056436006350 = 2352311991141661
BaseRepresentation
bin11110101111110000111…
…11100010110111001110
310201222211211201121001110
433113320133202313032
5114302040104200400
62125153041552450
7136216316614464
oct17277037426716
93658754647043
101056436006350
1137803964785a
121508b2345726
137881054173a
14391bb840834
151c73116ae50
hexf5f87e2dce

1056436006350 has 96 divisors (see below), whose sum is σ = 2718068889600. Its totient is φ = 271258416000.

The previous prime is 1056436006337. The next prime is 1056436006399. The reversal of 1056436006350 is 536006346501.

It is a happy number.

It is a super-2 number, since 2×10564360063502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056436006299 and 1056436006308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354520 + ... + 1496180.

It is an arithmetic number, because the mean of its divisors is an integer number (28313217600).

Almost surely, 21056436006350 is an apocalyptic number.

1056436006350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056436006350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359034444800).

1056436006350 is an abundant number, since it is smaller than the sum of its proper divisors (1661632883250).

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

1056436006350 is a wasteful number, since it uses less digits than its factorization.

1056436006350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141906 (or 1141901 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 1056436006350 in words is "one trillion, fifty-six billion, four hundred thirty-six million, six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 199 310 398 465 597 775 930 995 1194 1550 1990 2325 2985 4650 4975 5970 6169 9950 12338 14925 18507 29850 30845 37014 61690 92535 154225 185070 308450 462675 925350 1141661 2283322 3424983 5708305 6849966 11416610 17124915 28541525 34249830 35391491 57083050 70782982 85624575 106174473 171249150 176957455 212348946 227190539 353914910 454381078 530872365 681571617 884787275 1061744730 1135952695 1363143234 1769574550 2271905390 2654361825 3407858085 5308723650 5679763475 6815716170 7042906709 11359526950 14085813418 17039290425 21128720127 34078580850 35214533545 42257440254 70429067090 105643600635 176072667725 211287201270 352145335450 528218003175 1056436006350