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61553642415006 = 23731109433726817
BaseRepresentation
bin11011111111011100100101…
…11111011010001110011110
322001221110201011200200101010
431333232102333122032132
531031443324424240011
6334525204123200050
715652050432525450
oct1577562277321636
9261843634620333
1061553642415006
1118681831496885
126aa1612376026
132846639545761
14112b2d83642d0
1571b2414811a6
hex37fb92fda39e

61553642415006 has 64 divisors (see below), whose sum is σ = 146564966338560. Its totient is φ = 16863298606080.

The previous prime is 61553642414981. The next prime is 61553642415071. The reversal of 61553642415006 is 60051424635516.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216721491 + ... + 217005326.

It is an arithmetic number, because the mean of its divisors is an integer number (2290077599040).

Almost surely, 261553642415006 is an apocalyptic number.

61553642415006 is an abundant number, since it is smaller than the sum of its proper divisors (85011323923554).

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

61553642415006 is a wasteful number, since it uses less digits than its factorization.

61553642415006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433726969.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 61553642415006 in words is "sixty-one trillion, five hundred fifty-three billion, six hundred forty-two million, four hundred fifteen thousand, six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 109 186 217 218 327 434 651 654 763 1302 1526 2289 3379 4578 6758 10137 20274 23653 47306 70959 141918 433726817 867453634 1301180451 2602360902 3036087719 6072175438 9108263157 13445531327 18216526314 26891062654 40336593981 47276223053 80673187962 94118719289 94552446106 141828669159 188237438578 282356157867 283657338318 330933561371 564712315734 661867122742 992800684113 1465562914643 1985601368226 2931125829286 4396688743929 8793377487858 10258940402501 20517880805002 30776821207503 61553642415006