Search a number
-
+
1957426620952 = 23114293311741
BaseRepresentation
bin11100011110111111101…
…101111110101000011000
320221010110102112010001111
4130132333231332220120
5224032302203332302
64055121313430104
7261263566516315
oct34367755765030
96833412463044
101957426620952
1169515a330000
1227744226b334
1311277a2ccb1a
146aa5060dd0c
1535db56230d7
hex1c7bfb7ea18

1957426620952 has 160 divisors (see below), whose sum is σ = 4191403554000. Its totient is φ = 855971424000.

The previous prime is 1957426620943. The next prime is 1957426620959. The reversal of 1957426620952 is 2590266247591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957426620959) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124310802 + ... + 1124312542.

Almost surely, 21957426620952 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 1957426620952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095701777000).

1957426620952 is an abundant number, since it is smaller than the sum of its proper divisors (2233976933048).

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

1957426620952 is a wasteful number, since it uses less digits than its factorization.

1957426620952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 1957426620952 in words is "one trillion, nine hundred fifty-seven billion, four hundred twenty-six million, six hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 121 232 242 319 331 484 638 662 968 1276 1324 1331 1741 2552 2648 2662 3482 3509 3641 5324 6964 7018 7282 9599 10648 13928 14036 14564 14641 19151 19198 28072 29128 29282 38302 38396 38599 40051 50489 58564 76604 76792 77198 80102 100978 105589 117128 153208 154396 160204 201956 210661 211178 308792 320408 403912 421322 422356 424589 440561 555379 576271 842644 844712 849178 881122 1110758 1152542 1161479 1685288 1698356 1762244 2221516 2305084 2317271 2322958 3396712 3524488 4443032 4610168 4634542 4645916 4846171 6109169 6338981 9269084 9291832 9692342 12218338 12677962 12776269 16711859 18538168 19384684 24436676 25355924 25489981 25552538 33423718 38769368 48873352 50711848 50979962 51105076 66847436 67200859 69728791 101959924 102210152 133694872 134401718 139457582 140538959 183830449 203919848 268803436 278915164 281077918 367660898 537606872 557830328 562155836 735321796 739209449 767016701 1124311672 1470643592 1478418898 1534033402 2022134939 2956837796 3068066804 4044269878 5913675592 6136133608 8088539756 8437183711 16177079512 16874367422 22243484329 33748734844 44486968658 67497469688 88973937316 177947874632 244678327619 489356655238 978713310476 1957426620952