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42102615654 = 23211614018693
BaseRepresentation
bin100111001101100000…
…101110111001100110
311000200012111110221100
4213031200232321212
51142211232200104
631201445100530
73020225220411
oct471540567146
9130605443840
1042102615654
1116945913330
1281b00b7746
133c7c877b38
142075938b78
1511663b9139
hex9cd82ee66

42102615654 has 96 divisors (see below), whose sum is σ = 101410571808. Its totient is φ = 12516480000.

The previous prime is 42102615649. The next prime is 42102615689. The reversal of 42102615654 is 45651620124.

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 47 ways as a sum of consecutive naturals, for example, 4838932 + ... + 4847624.

It is an arithmetic number, because the mean of its divisors is an integer number (1056360123).

Almost surely, 242102615654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102615654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50705285904).

42102615654 is an abundant number, since it is smaller than the sum of its proper divisors (59307956154).

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

42102615654 is a wasteful number, since it uses less digits than its factorization.

42102615654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 42102 and 615654, that added together give a palindrome (657756).

The spelling of 42102615654 in words is "forty-two billion, one hundred two million, six hundred fifteen thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 401 549 671 802 1098 1203 1342 2013 2406 3609 4026 4411 6039 7218 8693 8822 12078 13233 17386 24461 26079 26466 39699 48922 52158 73383 78237 79398 95623 146766 156474 191246 220149 269071 286869 440298 530273 538142 573738 807213 860607 1060546 1590819 1614426 1721214 2421639 3181638 3485893 4772457 4843278 5833003 6971786 9544914 10457679 11666006 17499009 20915358 31373037 34998018 38344823 52497027 62746074 76689646 104994054 115034469 212639473 230068938 345103407 425278946 637918419 690206814 1275836838 1913755257 2339034203 3827510514 4678068406 7017102609 14034205218 21051307827 42102615654