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4961308031694 = 2337372331522463
BaseRepresentation
bin100100000110010010100…
…0000001011101011001110
3122120022000002100111002000
41020030211000023223032
51122241224324003234
614315105441213130
71021304560312620
oct110144500135316
918508002314060
104961308031694
111643096052053
126816500311a6
1329cb06ccc671
141321b2bcac10
15890c59b4899
hex4832500bace

4961308031694 has 128 divisors (see below), whose sum is σ = 12996239892480. Its totient is φ = 1373285083392.

The previous prime is 4961308031663. The next prime is 4961308031699.

4961308031694 is a `hidden beast` number, since 4 + 9 + 613 + 0 + 8 + 0 + 3 + 16 + 9 + 4 = 666.

4961308031694 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×49613080316942 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4961308031694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961308031699) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2497507 + ... + 4019969.

It is an arithmetic number, because the mean of its divisors is an integer number (101533124160).

Almost surely, 24961308031694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961308031694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498119946240).

4961308031694 is an abundant number, since it is smaller than the sum of its proper divisors (8034931860786).

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

4961308031694 is a wasteful number, since it uses less digits than its factorization.

4961308031694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522751 (or 1522745 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4961308031694 in words is "four trillion, nine hundred sixty-one billion, three hundred eight million, thirty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 233 259 333 378 466 518 666 699 777 999 1398 1554 1631 1998 2097 2331 3262 4194 4662 4893 6291 6993 8621 9786 12582 13986 14679 17242 25863 29358 44037 51726 60347 77589 88074 120694 155178 181041 232767 362082 465534 543123 1086246 1522463 1629369 3044926 3258738 4567389 9134778 10657241 13702167 21314482 27404334 31971723 41106501 56331131 63943446 82213002 95915169 112662262 168993393 191830338 287745507 337986786 354733879 394317917 506980179 575491014 709467758 788635834 1013960358 1064201637 1182953751 1520940537 2128403274 2365907502 2483137153 3041881074 3192604911 3548861253 4966274306 6385209822 7097722506 7449411459 9577814733 10646583759 13125153523 14898822918 19155629466 21293167518 22348234377 26250307046 39375460569 44696468754 67044703131 78750921138 91876074661 118126381707 134089406262 183752149322 236252763414 275628223983 354379145121 551256447966 708758290242 826884671949 1653769343898 2480654015847 4961308031694