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157356390149 = 72191515412069
BaseRepresentation
bin1001001010001100101…
…0111111011100000101
3120001011102210212000222
42102203022333130011
510034231213441044
6200142153314125
714240303150600
oct2224312773405
9501142725028
10157356390149
1160809641a32
12265b6405945
1311ab966803a
14788a79d337
15415e8458ee
hex24a32bf705

157356390149 has 48 divisors (see below), whose sum is σ = 194409763200. Its totient is φ = 126636048000.

The previous prime is 157356390137. The next prime is 157356390167. The reversal of 157356390149 is 941093653751.

157356390149 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 157356390149 - 220 = 157355341573 is a prime.

It is a super-2 number, since 2×1573563901492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157356390149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157356390049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76053287 + ... + 76055355.

It is an arithmetic number, because the mean of its divisors is an integer number (4050203400).

Almost surely, 2157356390149 is an apocalyptic number.

157356390149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

157356390149 is a deficient number, since it is larger than the sum of its proper divisors (37053373051).

157356390149 is a wasteful number, since it uses less digits than its factorization.

157356390149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 157356390149 in words is "one hundred fifty-seven billion, three hundred fifty-six million, three hundred ninety thousand, one hundred forty-nine".

Divisors: 1 7 19 49 133 151 541 931 1057 2069 2869 3787 7399 10279 14483 20083 26509 39311 71953 81691 101381 140581 275177 312419 503671 571837 1119329 1552129 1926239 2186933 4002859 5935961 7835303 10864903 15308531 21267251 41551727 54847121 76054321 148870757 169018679 290862089 1042095299 1183130753 3211354901 8281915271 22479484307 157356390149