Search a number
-
+
157357936776 = 23347353395189
BaseRepresentation
bin1001001010001101000…
…0111001000010001000
3120001011112201102121110
42102203100321002020
510034232112434101
6200142250410320
714240322251655
oct2224320710210
9501145642543
10157357936776
116080a4a8a37
12265b6a309a0
1311ab9a89cc1
14788aa82c2c
15415ea4dcd6
hex24a3439088

157357936776 has 64 divisors (see below), whose sum is σ = 402904108800. Its totient is φ = 51191072768.

The previous prime is 157357936763. The next prime is 157357936783. The reversal of 157357936776 is 677639753751.

It is a super-2 number, since 2×1573579367762 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200590 + ... + 595778.

It is an arithmetic number, because the mean of its divisors is an integer number (6295376700).

Almost surely, 2157357936776 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 157357936776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201452054400).

157357936776 is an abundant number, since it is smaller than the sum of its proper divisors (245546172024).

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

157357936776 is a wasteful number, since it uses less digits than its factorization.

157357936776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395598 (or 395594 counting only the distinct ones).

The product of its digits is 175032900, while the sum is 66.

The spelling of 157357936776 in words is "one hundred fifty-seven billion, three hundred fifty-seven million, nine hundred thirty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 353 376 564 706 1059 1128 1412 2118 2824 4236 8472 16591 33182 49773 66364 99546 132728 199092 395189 398184 790378 1185567 1580756 2371134 3161512 4742268 9484536 18573883 37147766 55721649 74295532 111443298 139501717 148591064 222886596 279003434 418505151 445773192 558006868 837010302 1116013736 1674020604 3348041208 6556580699 13113161398 19669742097 26226322796 39339484194 52452645592 78678968388 157357936776