Search a number
-
+
157825453088 = 25311734911873
BaseRepresentation
bin1001001011111100100…
…0010100110000100000
3120002101010102201102102
42102333020110300200
510041211303444323
6200300511105532
714255030134202
oct2227710246040
9502333381372
10157825453088
1160a2a398956
12267075122a8
1311b628aa784
1478d2bc0772
15418aaec328
hex24bf214c20

157825453088 has 96 divisors (see below), whose sum is σ = 323425654272. Its totient is φ = 75730636800.

The previous prime is 157825453069. The next prime is 157825453099. The reversal of 157825453088 is 880354528751.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84262520 + ... + 84264392.

It is an arithmetic number, because the mean of its divisors is an integer number (3369017232).

Almost surely, 2157825453088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157825453088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161712827136).

157825453088 is an abundant number, since it is smaller than the sum of its proper divisors (165600201184).

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

157825453088 is a wasteful number, since it uses less digits than its factorization.

157825453088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 56.

The spelling of 157825453088 in words is "one hundred fifty-seven billion, eight hundred twenty-five million, four hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 173 248 346 491 496 692 982 992 1384 1873 1964 2768 3746 3928 5363 5536 7492 7856 10726 14984 15221 15712 21452 29968 30442 42904 58063 59936 60884 84943 85808 116126 121768 169886 171616 232252 243536 324029 339772 464504 487072 648058 679544 919643 929008 1296116 1359088 1839286 1858016 2592232 2633233 2718176 3678572 5184464 5266466 7357144 10044899 10368928 10532932 14714288 20089798 21065864 28508933 29428576 40179596 42131728 57017866 80359192 84263456 114035732 159098239 160718384 228071464 318196478 321436768 456142928 636392956 912285856 1272785912 2545571824 4932045409 5091143648 9864090818 19728181636 39456363272 78912726544 157825453088