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211553413104 = 24311419772423
BaseRepresentation
bin1100010100000110010…
…0001110011111110000
3202020001112001212210110
43011001210032133300
511431230133204404
6241104123501320
721166330225065
oct3050144163760
9666045055713
10211553413104
11817a04284a0
1235000987840
1316c45ab06a7
14a34c68cc6c
1557828ccb89
hex314190e7f0

211553413104 has 80 divisors (see below), whose sum is σ = 610737410304. Its totient is φ = 62543500800.

The previous prime is 211553413087. The next prime is 211553413111. The reversal of 211553413104 is 401314355112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4864564 + ... + 4907859.

Almost surely, 2211553413104 is an apocalyptic number.

211553413104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211553413104 is an abundant number, since it is smaller than the sum of its proper divisors (399183997200).

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

211553413104 is a wasteful number, since it uses less digits than its factorization.

211553413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772486 (or 9772480 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 211553413104 its reverse (401314355112), we get a palindrome (612867768216).

The spelling of 211553413104 in words is "two hundred eleven billion, five hundred fifty-three million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 9772423 19544846 29317269 39089692 58634538 78179384 107496653 117269076 156358768 214993306 234538152 322489959 400669343 429986612 469076304 644979918 801338686 859973224 1202008029 1289959836 1602677372 1719946448 2404016058 2579919672 3205354744 4407362773 4808032116 5159839344 6410709488 8814725546 9616064232 13222088319 17629451092 19232128464 26444176638 35258902184 52888353276 70517804368 105776706552 211553413104