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1355206312432 = 24723912757641
BaseRepresentation
bin10011101110001000100…
…101110100000111110000
311210120000122202200212101
4103232020211310013300
5134200430303444212
62514323450310144
7166624163406520
oct23561045640760
94716018680771
101355206312432
114828156a6895
1219a793a28354
139aa456802bb
1449841523680
15253ba8c6157
hex13b889741f0

1355206312432 has 80 divisors (see below), whose sum is σ = 3131681559552. Its totient is φ = 555479907840.

The previous prime is 1355206312403. The next prime is 1355206312457. The reversal of 1355206312432 is 2342136025531.

It is a junction number, because it is equal to n+sod(n) for n = 1355206312391 and 1355206312400.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 23482332 + ... + 23539972.

Almost surely, 21355206312432 is an apocalyptic number.

It is an amenable number.

1355206312432 is an abundant number, since it is smaller than the sum of its proper divisors (1776475247120).

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

1355206312432 is a wasteful number, since it uses less digits than its factorization.

1355206312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66806 (or 66800 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 1355206312432 in words is "one trillion, three hundred fifty-five billion, two hundred six million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 9127 18254 36508 57641 63889 73016 115282 127778 146032 209921 230564 255556 403487 419842 461128 511112 806974 839684 922256 1022224 1325743 1469447 1613948 1679368 2651486 2938894 3227896 3358736 5302972 5877788 6455792 9280201 10605944 11755576 18560402 21211888 23511152 37120804 74241608 148483216 526089407 1052178814 2104357628 3682625849 4208715256 7365251698 8417430512 12100056361 14730503396 24200112722 29461006792 48400225444 58922013584 84700394527 96800450888 169400789054 193600901776 338801578108 677603156216 1355206312432