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392242873472 = 2719722812
BaseRepresentation
bin1011011010100110111…
…11110100010010000000
31101111110002011111212022
411231103133310102000
522411303133422342
6500105514021012
740224100261532
oct5552337642200
91344402144768
10392242873472
1114139297042a
1264029417768
132acb0513c48
1414dadc7b852
15a30a8c59d2
hex5b537f4480

392242873472 has 72 divisors (see below), whose sum is σ = 788213083755. Its totient is φ = 194431498240.

The previous prime is 392242873457. The next prime is 392242873487. The reversal of 392242873472 is 274378242293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (392242873457) and next prime (392242873487).

It can be written as a sum of positive squares in 5 ways, for example, as 391705746496 + 537126976 = 625864^2 + 23176^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=442856.

It is a super-3 number, since 3×3922428734723 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1395881972 + ... + 1395882252.

Almost surely, 2392242873472 is an apocalyptic number.

392242873472 is a gapful number since it is divisible by the number (32) 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 392242873472

392242873472 is an abundant number, since it is smaller than the sum of its proper divisors (395970210283).

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

392242873472 is an frugal number, since it uses more digits than its factorization.

392242873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 480 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 53.

The spelling of 392242873472 in words is "three hundred ninety-two billion, two hundred forty-two million, eight hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 197 281 394 562 788 1124 1576 2248 3152 4496 6304 8992 12608 17984 25216 35968 38809 55357 77618 78961 110714 155236 157922 221428 310472 315844 442856 620944 631688 885712 1241888 1263376 1771424 2483776 2526752 3542848 4967552 5053504 7085696 10107008 10905329 15555317 21810658 31110634 43621316 62221268 87242632 124442536 174485264 248885072 348970528 497770144 697941056 995540288 1395882112 1991080576 3064397449 6128794898 12257589796 24515179592 49030359184 98060718368 196121436736 392242873472