Search a number
-
+
157634051548869 = 32722971173602151
BaseRepresentation
bin100011110101111000001001…
…101001011010011011000101
3202200010200001002021201212200
4203311320021221122123011
5131130134014144030434
61315132030014505113
745126453514232400
oct4365701151323305
9680120032251780
10157634051548869
1146255253651825
121581a650b05199
1369c5a9a6b690c
142acd759072d37
15133565412e199
hex8f5e09a5a6c5

157634051548869 has 72 divisors (see below), whose sum is σ = 277860660405120. Its totient is φ = 85745573928000.

The previous prime is 157634051548861. The next prime is 157634051548879. The reversal of 157634051548869 is 968845150436751.

157634051548869 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 3 + 4 + 0 + 515 + 48 + 8 + 69 = 666.

157634051548869 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157634051548869 - 23 = 157634051548861 is a prime.

It is a super-2 number, since 2×1576340515488692 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157634051548797 and 157634051548806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157634051548861) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85893057 + ... + 87709094.

It is an arithmetic number, because the mean of its divisors is an integer number (3859175838960).

Almost surely, 2157634051548869 is an apocalyptic number.

It is an amenable number.

157634051548869 is a deficient number, since it is larger than the sum of its proper divisors (120226608856251).

157634051548869 is a wasteful number, since it uses less digits than its factorization.

157634051548869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173602271 (or 173602261 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 157634051548869 in words is "one hundred fifty-seven trillion, six hundred thirty-four billion, fifty-one million, five hundred forty-eight thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 21 29 49 63 71 87 147 203 213 261 441 497 609 639 1421 1491 1827 2059 3479 4263 4473 6177 10437 12789 14413 18531 31311 43239 100891 129717 302673 908019 173602151 520806453 1215215057 1562419359 3645645171 5034462379 8506505399 10936935513 12325752721 15103387137 25519516197 35241236653 36977258163 45310161411 76558548591 86280269047 105723709959 110931774489 246688656571 258840807141 317171129877 357446828909 603961883329 740065969713 776522421423 1072340486727 1811885649987 2220197909139 2502127802363 3217021460181 5435656949961 7506383407089 17514894616541 22519150221267 52544683849623 157634051548869