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38403648131354 = 21123433895418387
BaseRepresentation
bin10001011101101100010111…
…10011100001000100011010
312000222100112021020210202022
420232312023303201010122
520013201132410200404
6213402220431334442
711042400126044102
oct1056661363410432
9160870467223668
1038403648131354
1111266994209780
124382a74081422
1318575aa40453c
1496aa6450a202
15468e78a558be
hex22ed8bce111a

38403648131354 has 128 divisors (see below), whose sum is σ = 67404475607040. Its totient is φ = 16235000812800.

The previous prime is 38403648131351. The next prime is 38403648131369. The reversal of 38403648131354 is 45313184630483.

It is a junction number, because it is equal to n+sod(n) for n = 38403648131296 and 38403648131305.

It is not an unprimeable number, because it can be changed into a prime (38403648131351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4578945149 + ... + 4578953535.

It is an arithmetic number, because the mean of its divisors is an integer number (526597465680).

Almost surely, 238403648131354 is an apocalyptic number.

38403648131354 is a deficient number, since it is larger than the sum of its proper divisors (29000827475686).

38403648131354 is a wasteful number, since it uses less digits than its factorization.

38403648131354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396.

The product of its (nonzero) digits is 9953280, while the sum is 53.

The spelling of 38403648131354 in words is "thirty-eight trillion, four hundred three billion, six hundred forty-eight million, one hundred thirty-one thousand, three hundred fifty-four".

Divisors: 1 2 11 22 23 43 46 86 253 389 473 506 541 778 946 989 1082 1978 4279 5951 8387 8558 8947 10879 11902 12443 16727 16774 17894 21758 23263 24886 33454 46526 92257 98417 136873 183997 184514 192901 196834 210449 255893 273746 360641 367994 384721 385802 420898 511786 535049 721282 769442 1070098 2121911 2314939 3262543 3967051 4231931 4243822 4537367 4629878 4840327 5885539 6525086 7934102 8294743 8463862 9049307 9074734 9680654 11771078 16589486 18098614 35887973 49911037 53243597 71775946 75038489 91242173 99542377 99822074 104359441 106487194 140289349 150076978 182484346 195106781 199084754 208134061 208718882 280578698 390213562 416268122 825423379 1147953851 1543182839 1650846758 1765035763 2146174591 2289474671 2295907702 3086365678 3226655027 3530071526 4292349182 4487455963 4578949342 6453310054 8974911926 19415393393 35493205297 38830786786 40595822549 49362015593 70986410594 75896537809 81191645098 98724031186 151793075618 446554048039 834861915899 893108096078 1669723831798 1745620369607 3491240739214 19201824065677 38403648131354