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2032405434332 = 2271341383355571
BaseRepresentation
bin11101100100110100110…
…011011100111111011100
321012021222211101110220122
4131210310303130333130
5231244331242344312
64153401341534112
7266556621103010
oct35446463347734
97167884343818
102032405434332
11713a35979279
12289a88574338
131198690987a0
1470524570540
1537d02da2b72
hex1d934cdcfdc

2032405434332 has 96 divisors (see below), whose sum is σ = 4495977529344. Its totient is φ = 782367782400.

The previous prime is 2032405434317. The next prime is 2032405434347. The reversal of 2032405434332 is 2334345042302.

It is an interprime number because it is at equal distance from previous prime (2032405434317) and next prime (2032405434347).

It is a junction number, because it is equal to n+sod(n) for n = 2032405434292 and 2032405434301.

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, 5538107 + ... + 5893677.

It is an arithmetic number, because the mean of its divisors is an integer number (46833099264).

Almost surely, 22032405434332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032405434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247988764672).

2032405434332 is an abundant number, since it is smaller than the sum of its proper divisors (2463572095012).

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

2032405434332 is a wasteful number, since it uses less digits than its factorization.

2032405434332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356019 (or 356017 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

The spelling of 2032405434332 in words is "two trillion, thirty-two billion, four hundred five million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 383 533 574 766 1066 1148 1532 2132 2681 3731 4979 5362 7462 9958 10724 14924 15703 19916 31406 34853 62812 69706 109921 139412 204139 219842 355571 408278 439684 711142 816556 1422284 1428973 2488997 2857946 4622423 4977994 5715892 9244846 9955988 14578411 18489692 29156822 32356961 58313644 64713922 102048877 129427844 136183693 189519343 204097754 272367386 379038686 408195508 544734772 758077372 953285851 1326635401 1770388009 1906571702 2653270802 3540776018 3813143404 5306541604 5583531413 7081552036 11167062826 12392716063 22334125652 24785432126 39084719891 49570864252 72585908369 78169439782 145171816738 156338879564 290343633476 508101358583 1016202717166 2032405434332