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61649921008984 = 237112833221109793
BaseRepresentation
bin11100000010001111111011…
…01001000110010101011000
322002021200012222212000021011
432001013331221012111120
531040033014234241414
6335041325511423304
715662026341213640
oct1601077551062530
9262250188760234
1061649921008984
1118709648221510
126ab8201984b34
1328527410781a9
141131c2d071520
1571d9c8b26dc4
hex3811fda46558

61649921008984 has 128 divisors (see below), whose sum is σ = 144672163361280. Its totient is φ = 23926926643200.

The previous prime is 61649921008967. The next prime is 61649921008997. The reversal of 61649921008984 is 48980012994616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561455592 + ... + 561565384.

It is an arithmetic number, because the mean of its divisors is an integer number (1130251276260).

Almost surely, 261649921008984 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 61649921008984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72336081680640).

61649921008984 is an abundant number, since it is smaller than the sum of its proper divisors (83022242352296).

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

61649921008984 is a wasteful number, since it uses less digits than its factorization.

61649921008984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113321 (or 113317 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 67.

The spelling of 61649921008984 in words is "sixty-one trillion, six hundred forty-nine billion, nine hundred twenty-one million, eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 283 308 566 616 1132 1981 2264 3113 3221 3962 6226 6442 7924 12452 12884 15848 21791 22547 24904 25768 35431 43582 45094 70862 87164 90188 109793 141724 174328 180376 219586 248017 283448 439172 496034 768551 878344 911543 992068 1207723 1537102 1823086 1984136 2415446 3074204 3646172 4830892 6148408 6380801 7292344 8454061 9661784 10026973 12761602 16908122 20053946 25523204 31071419 33816244 40107892 51046408 62142838 67632488 70188811 80215784 124285676 140377622 217499933 248571352 280755244 341785609 353643253 434999866 561510488 683571218 707286506 869999732 1367142436 1414573012 1739999464 2392499263 2475502771 2734284872 2829146024 3890075783 4784998526 4951005542 7780151566 9569997052 9902011084 15560303132 19139994104 19804022168 27230530481 31120606264 54461060962 100081040599 108922121924 200162081198 217844243848 400324162396 700567284193 800648324792 1100891446589 1401134568386 2201782893178 2802269136772 4403565786356 5604538273544 7706240126123 8807131572712 15412480252246 30824960504492 61649921008984