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157980350790 = 232512741932987
BaseRepresentation
bin1001001100100001011…
…1001101100101000110
3120002202220220100010100
42103020113031211012
510042020432211130
6200324123104530
714261620553043
oct2231027154506
9502686810110
10157980350790
1160aa9875889
122674b372146
1311b88a02a12
1479095c21ca
1541994e7c60
hex24c85cd946

157980350790 has 96 divisors (see below), whose sum is σ = 414983761920. Its totient is φ = 41695359552.

The previous prime is 157980350779. The next prime is 157980350791. The reversal of 157980350790 is 97053089751.

157980350790 is a `hidden beast` number, since 1 + 57 + 9 + 80 + 3 + 507 + 9 + 0 = 666.

157980350790 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157980350791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4772677 + ... + 4805663.

It is an arithmetic number, because the mean of its divisors is an integer number (4322747520).

Almost surely, 2157980350790 is an apocalyptic number.

157980350790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157980350790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207491880960).

157980350790 is an abundant number, since it is smaller than the sum of its proper divisors (257003411130).

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

157980350790 is a wasteful number, since it uses less digits than its factorization.

157980350790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33546 (or 33543 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 157980350790 in words is "one hundred fifty-seven billion, nine hundred eighty million, three hundred fifty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 419 635 762 838 1143 1257 1270 1905 2095 2286 2514 3771 3810 4190 5715 6285 7542 11430 12570 18855 32987 37710 53213 65974 98961 106426 159639 164935 197922 266065 296883 319278 329870 478917 494805 532130 593766 798195 957834 989610 1484415 1596390 2394585 2968830 4189349 4789170 8378698 12568047 13821553 20946745 25136094 27643106 37704141 41464659 41893490 62840235 69107765 75408282 82929318 124393977 125680470 138215530 188520705 207323295 248787954 377041410 414646590 621969885 1243939770 1755337231 3510674462 5266011693 8776686155 10532023386 15798035079 17553372310 26330058465 31596070158 52660116930 78990175395 157980350790