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38930138801631 = 3117112259459
BaseRepresentation
bin10001101101000001000010…
…00110000010010111011111
312002211200111022100000000000
420312200201012002113133
520100312411013123011
6214444131525505343
711125416062644350
oct1066404106022737
9162750438300000
1038930138801631
111144a1a74a0900
124448b08872253
13189513386232c
1498832ba6bd27
154779e0161356
hex2368211825df

38930138801631 has 144 divisors (see below), whose sum is σ = 73356108716800. Its totient is φ = 20223370783440.

The previous prime is 38930138801557. The next prime is 38930138801633. The reversal of 38930138801631 is 13610883103983.

It is not a de Polignac number, because 38930138801631 - 27 = 38930138801503 is a prime.

It is a super-2 number, since 2×389301388016312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38930138801633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149913780 + ... + 150173238.

Almost surely, 238930138801631 is an apocalyptic number.

38930138801631 is a deficient number, since it is larger than the sum of its proper divisors (34425969915169).

38930138801631 is an frugal number, since it uses more digits than its factorization.

38930138801631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259521 (or 259480 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38930138801631 in words is "thirty-eight trillion, nine hundred thirty billion, one hundred thirty-eight million, eight hundred one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 121 189 231 243 297 363 567 693 729 847 891 1089 1701 2079 2187 2541 2673 3267 5103 6237 6561 7623 8019 9801 15309 18711 19683 22869 24057 29403 45927 56133 59049 68607 72171 88209 137781 168399 177147 205821 216513 259459 264627 413343 505197 617463 649539 778377 793881 1240029 1515591 1816213 1852389 1948617 2335131 2381643 2854049 4546773 5448639 5557167 7005393 7144929 8562147 13640319 16345917 16671501 19978343 21016179 21434787 25686441 31394539 49037751 50014503 59935029 63048537 77059323 94183617 147113253 150043509 179805087 189145611 219761773 231177969 282550851 441339759 539415261 567436833 659285319 693533907 847652553 1324019277 1618245783 1702310499 1977855957 2080601721 2542957659 3972057831 4854737349 5106931497 5933567871 6241805163 7628872977 11916173493 14564212047 15320794491 17800703613 18725415489 22886618931 35748520479 43692636141 45962383473 53402110839 56176246467 68659856793 107245561437 131077908423 160206332517 168528739401 205979570379 321736684311 393233725269 480618997551 505586218203 617938711137 1179701175807 1441856992653 1853816133411 3539103527421 4325570977959 5561448400233 12976712933877 38930138801631