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38421455412483 = 33111317811172169
BaseRepresentation
bin10001011110001101100010…
…01100111001110100000011
312001001001111021210102012000
420233012301030321310003
520013444120041144413
6213414323431235043
711043600324325443
oct1057066114716403
9161031437712160
1038421455412483
11112734a1a31640
124386403818a83
131859187729990
1496b8734cc123
1546966c042073
hex22f1b1339d03

38421455412483 has 128 divisors (see below), whose sum is σ = 70815190118400. Its totient is φ = 20227362508800.

The previous prime is 38421455412437. The next prime is 38421455412583.

38421455412483 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 1 + 4 + 554 + 1 + 2 + 4 + 83 = 666.

38421455412483 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38421455412483 - 26 = 38421455412419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38421455412083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 532345623 + ... + 532417791.

It is an arithmetic number, because the mean of its divisors is an integer number (553243672800).

Almost surely, 238421455412483 is an apocalyptic number.

38421455412483 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38421455412483 is a deficient number, since it is larger than the sum of its proper divisors (32393734705917).

38421455412483 is a wasteful number, since it uses less digits than its factorization.

38421455412483 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80330 (or 80324 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 38421455412483 in words is "thirty-eight trillion, four hundred twenty-one billion, four hundred fifty-five million, four hundred twelve thousand, four hundred eighty-three".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 143 153 187 221 297 351 429 459 561 663 1287 1683 1989 2431 3861 5049 5967 7293 8111 21879 24333 65637 72169 72999 89221 105443 137887 216507 218997 267663 316329 413661 649521 793859 802989 938197 948987 1159873 1226873 1240983 1516757 1792531 1948563 2381577 2408967 2814591 2846961 3479619 3680619 3722949 4550271 5377593 7144731 8443773 10320167 10438857 11041857 13495603 13650813 15949349 16132779 19717841 21434193 25331319 30960501 31316571 33125571 40486809 40952439 47848047 48398337 59153523 92881503 121460427 143544141 175442839 177460569 278644509 364381281 430632423 526328517 532381707 585362759 1578985551 1756088277 4736956653 5268264831 6438990349 7609715867 9951166903 15804794493 19316971047 22829147601 29853500709 57950913141 68487442803 83706874537 89560502127 109462835933 129365169739 173852739423 205462328409 251120623611 268681506381 328388507799 388095509217 753361870833 985165523397 1164286527651 1423016867129 2260085612499 2955496570191 3492859582953 4269050601387 12807151804161 38421455412483