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536642001544 = 231121016019133
BaseRepresentation
bin1111100111100100101…
…10110001101010001000
31220022011111121020211211
413303302112301222020
532243020323022134
61050310244302504
753525326515235
oct7636226615210
91808144536754
10536642001544
11197652468600
12880083a1a34
133b7b35c20ac
141bd8b83878c
15de5c90c764
hex7cf25b1a88

536642001544 has 96 divisors (see below), whose sum is σ = 1118923951320. Its totient is φ = 241084800000.

The previous prime is 536642001529. The next prime is 536642001583. The reversal of 536642001544 is 445100246635.

It can be written as a sum of positive squares in 4 ways, for example, as 504295979044 + 32346022500 = 710138^2 + 179850^2 .

It is a junction number, because it is equal to n+sod(n) for n = 536642001497 and 536642001506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58754002 + ... + 58763134.

Almost surely, 2536642001544 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 536642001544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559461975660).

536642001544 is an abundant number, since it is smaller than the sum of its proper divisors (582281949776).

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

536642001544 is a wasteful number, since it uses less digits than its factorization.

536642001544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 536642001544 in words is "five hundred thirty-six billion, six hundred forty-two million, one thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 601 808 968 1111 1202 2222 2404 4444 4808 6611 8888 9133 12221 13222 18266 24442 26444 36532 48884 52888 60701 72721 73064 97768 100463 121402 145442 200926 242804 290884 401852 485608 581768 667711 803704 922433 1105093 1335422 1844866 2210186 2670844 3689732 4420372 5341688 5488933 7344821 7379464 8840744 10146763 10977866 14689642 20293526 21955732 29379284 40587052 43911464 58758568 60378263 81174104 111614393 120756526 223228786 241513052 446457572 483026104 554382233 664160893 892915144 1108764466 1328321786 2217528932 2656643572 4435057864 5313287144 6098204563 12196409126 24392818252 48785636504 67080250193 134160500386 268321000772 536642001544