Search a number
-
+
157658424192 = 2733267717041
BaseRepresentation
bin1001001011010100101…
…1001010001110000000
3120001221111010202212000
42102311023022032000
510040341024033232
6200232143104000
714250631331403
oct2226513121600
9501844122760
10157658424192
1160954085645
122667b5a2000
1311b370c88c9
1478b8941d3a
15417b10727c
hex24b52ca380

157658424192 has 128 divisors (see below), whose sum is σ = 465512455200. Its totient is φ = 52530094080.

The previous prime is 157658424173. The next prime is 157658424199. The reversal of 157658424192 is 291424856751.

157658424192 is a `hidden beast` number, since 1 + 57 + 6 + 584 + 2 + 4 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1576584241922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157658424199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9243192 + ... + 9260232.

Almost surely, 2157658424192 is an apocalyptic number.

157658424192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157658424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232756227600).

157658424192 is an abundant number, since it is smaller than the sum of its proper divisors (307854031008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157658424192 is a wasteful number, since it uses less digits than its factorization.

157658424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19741 (or 19723 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 157658424192 in words is "one hundred fifty-seven billion, six hundred fifty-eight million, four hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 2677 3456 5354 8031 10708 16062 17041 21416 24093 32124 34082 42832 48186 51123 64248 68164 72279 85664 96372 102246 128496 136328 144558 153369 171328 192744 204492 256992 272656 289116 306738 342656 385488 408984 460107 513984 545312 578232 613476 770976 817968 920214 1027968 1090624 1156464 1226952 1541952 1635936 1840428 2181248 2312928 2453904 3083904 3271872 3680856 4625856 4907808 6543744 7361712 9251712 9815616 14723424 19631232 29446848 45618757 58893696 91237514 136856271 182475028 273712542 364950056 410568813 547425084 729900112 821137626 1094850168 1231706439 1459800224 1642275252 2189700336 2463412878 2919600448 3284550504 4379400672 4926825756 5839200896 6569101008 8758801344 9853651512 13138202016 17517602688 19707303024 26276404032 39414606048 52552808064 78829212096 157658424192