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99910369379772 = 223273494912313679
BaseRepresentation
bin10110101101111000110010…
…000100111000010110111100
3111002202100010102111020221200
4112231320302010320112330
5101043412414030123042
6552254105015255500
730021200043346530
oct2655706204702674
9432670112436850
1099910369379772
112991a827947626
12b25737067a590
134399679a03ba3
141a9598adc7bc0
15b83d70aa8c4c
hex5ade321385bc

99910369379772 has 144 divisors (see below), whose sum is σ = 290046626688000. Its totient is φ = 28406042824320.

The previous prime is 99910369379753. The next prime is 99910369379819. The reversal of 99910369379772 is 27797396301999.

99910369379772 is a `hidden beast` number, since 9 + 99 + 10 + 369 + 3 + 7 + 97 + 72 = 666.

99910369379772 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 99910369379691 and 99910369379700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42025629 + ... + 44339307.

Almost surely, 299910369379772 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 99910369379772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145023313344000).

99910369379772 is an abundant number, since it is smaller than the sum of its proper divisors (190136257308228).

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

99910369379772 is a wasteful number, since it uses less digits than its factorization.

99910369379772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314536 (or 2314531 counting only the distinct ones).

The product of its (nonzero) digits is 2187411156, while the sum is 81.

The spelling of 99910369379772 in words is "ninety-nine trillion, nine hundred ten billion, three hundred sixty-nine million, three hundred seventy-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 491 698 982 1047 1396 1473 1964 2094 2443 2946 3141 3437 4188 4419 4886 5892 6282 6874 7329 8838 9772 10311 12564 13748 14658 17676 20622 21987 29316 30933 41244 43974 61866 87948 123732 171359 342718 514077 685436 1028154 1199513 1542231 2056308 2313679 2399026 3084462 3598539 4627358 4798052 6168924 6941037 7197078 9254716 10795617 13882074 14394156 16195753 20823111 21591234 27764148 32391506 41646222 43182468 48587259 64783012 83292444 97174518 145761777 194349036 291523554 583047108 807473971 1136016389 1614947942 2272032778 2422421913 3229895884 3408049167 4544065556 4844843826 5652317797 6816098334 7267265739 7952114723 9689687652 10224147501 11304635594 13632196668 14534531478 15904229446 16956953391 20448295002 22609271188 23856344169 29069062956 31808458892 33913906782 40896590004 47712688338 50870860173 67827813564 71569032507 95425376676 101741720346 143138065014 203483440692 286276130028 396469719761 792939439522 1189409159283 1585878879044 2378818318566 2775288038327 3568227477849 4757636637132 5550576076654 7136454955698 8325864114981 11101152153308 14272909911396 16651728229962 24977592344943 33303456459924 49955184689886 99910369379772