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38201000673920 = 275731275064809
BaseRepresentation
bin10001010111110010111010…
…00100110100001010000000
312000020222110102022100101212
420223321131010310022000
520001341122133031140
6213125144125145252
711021634260061230
oct1053713504641200
9160228412270355
1038201000673920
1111198a53a89627
12434b7399bb228
131841453767406
14960d1c991cc0
15463a67e79765
hex22be5d134280

38201000673920 has 128 divisors (see below), whose sum is σ = 107737384780800. Its totient is φ = 12674986352640.

The previous prime is 38201000673911. The next prime is 38201000673931. The reversal of 38201000673920 is 2937600010283.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 137393525 + ... + 137671284.

It is an arithmetic number, because the mean of its divisors is an integer number (841698318600).

Almost surely, 238201000673920 is an apocalyptic number.

It is an amenable number.

38201000673920 is an abundant number, since it is smaller than the sum of its proper divisors (69536384106880).

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

38201000673920 is a wasteful number, since it uses less digits than its factorization.

38201000673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275064866 (or 275064854 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 38201000673920 in words is "thirty-eight trillion, two hundred one billion, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 275064809 550129618 1100259236 1375324045 1925453663 2200518472 2750648090 3850907326 4401036944 5501296180 7701814652 8527009079 8802073888 9627268315 11002592360 15403629304 17054018158 17604147776 19254536630 22005184720 30807258608 34108036316 35208295552 38509073260 42635045395 44010369440 59689063553 61614517216 68216072632 77018146520 85270090790 88020738880 119378127106 123229034432 136432145264 154036293040 170540181580 176041477760 238756254212 246458068864 272864290528 298445317765 308072586080 341080363160 477512508424 545728581056 596890635530 616145172160 682160726320 955025016848 1091457162112 1193781271060 1232290344320 1364321452640 1910050033696 2387562542120 2728642905280 3820100067392 4775125084240 5457285810560 7640200134784 9550250168480 19100500336960 38201000673920