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1948612402131 = 38360113021219
BaseRepresentation
bin11100010110110010010…
…110011001101111010011
320220021201011000101220120
4130112302112121233103
5223411224233332011
64051102530241323
7260532301062333
oct34266226315723
96807634011816
101948612402131
1169144699aa3a
122757a2426243
131119a4198c25
146a455b590c3
1535a4b8e2a06
hex1c5b2599bd3

1948612402131 has 16 divisors (see below), whose sum is σ = 2633828211840. Its totient is φ = 1281287851200.

The previous prime is 1948612402111. The next prime is 1948612402151. The reversal of 1948612402131 is 1312042168491.

It is an interprime number because it is at equal distance from previous prime (1948612402111) and next prime (1948612402151).

It is not a de Polignac number, because 1948612402131 - 27 = 1948612402003 is a prime.

It is a super-2 number, since 2×19486124021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948612402111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360961 + ... + 6660258.

It is an arithmetic number, because the mean of its divisors is an integer number (164614263240).

Almost surely, 21948612402131 is an apocalyptic number.

1948612402131 is a deficient number, since it is larger than the sum of its proper divisors (685215809709).

1948612402131 is a wasteful number, since it uses less digits than its factorization.

1948612402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021906.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1948612402131 in words is "one trillion, nine hundred forty-eight billion, six hundred twelve million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 3 83 249 601 1803 49883 149649 13021219 39063657 1080761177 3242283531 7825752619 23477257857 649537467377 1948612402131