Search a number
-
+
38388061364653 = 71121310938982223
BaseRepresentation
bin10001011101001111010101…
…10000101110000110101101
312000220212022000000000110201
420232213222300232012231
520012422222202132103
6213351122033033501
711041305642522430
oct1056475260560655
9160825260000421
1038388061364653
1111260315958200
12437ba440b5891
131855c95144070
14969dc63c5817
1546886548951d
hex22e9eac2e1ad

38388061364653 has 96 divisors (see below), whose sum is σ = 52544293401600. Its totient is φ = 27287811048960.

The previous prime is 38388061364561. The next prime is 38388061364749. The reversal of 38388061364653 is 35646316088383.

It is not a de Polignac number, because 38388061364653 - 225 = 38388027810221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38388061362653) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 466836300 + ... + 466918522.

It is an arithmetic number, because the mean of its divisors is an integer number (547336389600).

Almost surely, 238388061364653 is an apocalyptic number.

It is an amenable number.

38388061364653 is a deficient number, since it is larger than the sum of its proper divisors (14156232036947).

38388061364653 is a wasteful number, since it uses less digits than its factorization.

38388061364653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82763 (or 82752 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 64.

The spelling of 38388061364653 in words is "thirty-eight trillion, three hundred eighty-eight billion, sixty-one million, three hundred sixty-four thousand, six hundred fifty-three".

Divisors: 1 7 11 13 77 91 109 121 143 389 763 847 1001 1199 1417 1573 2723 4279 5057 8393 9919 11011 13189 15587 29953 35399 42401 47069 55627 82223 92323 109109 171457 296807 329483 389389 466411 551213 575561 611897 904453 1068899 1200199 3264877 3858491 4283279 5130521 6063343 6331171 7482293 8962307 9948983 11757889 31984747 35913647 42443401 62736149 66696773 69642881 82305223 98585377 116509991 129336779 223893229 351832217 415801711 466877411 690097639 815569937 905357453 1084439147 1281609901 2462825519 2910611977 3486337423 3870154387 4573818821 7591074029 8971269307 14097708911 24404361961 27091080709 32016731747 38349711653 45322386499 50312007031 98683962377 268447981571 317256705493 352184049217 421846828183 498546251489 2952927797281 3489823760423 5484008766379 38388061364653