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1073027138652 = 2233713011090967
BaseRepresentation
bin11111001110101010110…
…01101100010001011100
310210120200002212102221000
433213111121230101130
5120040024421414102
62140535235310300
7140344420121550
oct17472531542134
93716602772830
101073027138652
11384082934047
12153b6274b390
137a25590a1a1
1439d130cb860
151cda29cc01c
hexf9d566c45c

1073027138652 has 96 divisors (see below), whose sum is σ = 3181786352640. Its totient is φ = 306343252800.

The previous prime is 1073027138647. The next prime is 1073027138671. The reversal of 1073027138652 is 2568317203701.

It is a super-4 number, since 4×10730271386524 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1073027138598 and 1073027138607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438073 + ... + 1529039.

It is an arithmetic number, because the mean of its divisors is an integer number (33143607840).

Almost surely, 21073027138652 is an apocalyptic number.

1073027138652 is a gapful number since it is divisible by the number (12) 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 1073027138652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590893176320).

1073027138652 is an abundant number, since it is smaller than the sum of its proper divisors (2108759213988).

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

1073027138652 is a wasteful number, since it uses less digits than its factorization.

1073027138652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092288 (or 1092280 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1073027138652 in words is "one trillion, seventy-three billion, twenty-seven million, one hundred thirty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1301 2602 3903 5204 7806 9107 11709 15612 18214 23418 27321 35127 36428 46836 54642 70254 81963 109284 140508 163926 245889 327852 491778 983556 1090967 2181934 3272901 4363868 6545802 7636769 9818703 13091604 15273538 19637406 22910307 29456109 30547076 39274812 45820614 58912218 68730921 91641228 117824436 137461842 206192763 274923684 412385526 824771052 1419348067 2838696134 4258044201 5677392268 8516088402 9935436469 12774132603 17032176804 19870872938 25548265206 29806309407 38322397809 39741745876 51096530412 59612618814 76644795618 89418928221 119225237628 153289591236 178837856442 268256784663 357675712884 536513569326 1073027138652