Search a number
-
+
10007783037 = 347196197157
BaseRepresentation
bin10010101001000001…
…01010011001111101
3221211110102001110000
421110200222121331
5130443443024122
64333021304513
7503000516010
oct112440523175
927743361400
1010007783037
11427615057a
121b33705139
13c364b3c15
146ad1cb377
153d88e90ac
hex25482a67d

10007783037 has 160 divisors (see below), whose sum is σ = 18585754880. Its totient is φ = 5240401920.

The previous prime is 10007783011. The next prime is 10007783083. The reversal of 10007783037 is 73038770001.

It is a happy number.

It is not a de Polignac number, because 10007783037 - 26 = 10007782973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10007782992 and 10007783010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007763037) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63743763 + ... + 63743919.

It is an arithmetic number, because the mean of its divisors is an integer number (116160968).

Almost surely, 210007783037 is an apocalyptic number.

It is an amenable number.

10007783037 is a deficient number, since it is larger than the sum of its proper divisors (8577971843).

10007783037 is a wasteful number, since it uses less digits than its factorization.

10007783037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10007783037 in words is "ten billion, seven million, seven hundred eighty-three thousand, thirty-seven".

Divisors: 1 3 7 9 19 21 27 57 61 63 81 97 133 157 171 183 189 291 399 427 471 513 549 567 679 873 1099 1159 1197 1281 1413 1539 1647 1843 2037 2619 2983 3297 3477 3591 3843 4239 4941 5529 5917 6111 7857 8113 8949 9577 9891 10431 10773 11529 12717 12901 15229 16587 17751 18333 20881 24339 26847 28731 29673 31293 34587 38703 41419 45687 49761 53253 54999 62643 67039 73017 80541 86193 89019 93879 106603 112423 116109 124257 137061 149283 159759 181963 187929 201117 219051 241623 258579 289351 319809 337269 348327 372771 411183 479277 545889 563787 603351 657153 775737 786961 868053 928969 959427 1011807 1044981 1118313 1233549 1273741 1637667 1691361 1810053 2025457 2360883 2604159 2786907 2878281 3035421 3354939 3821223 4913001 5430159 6076371 6502783 7082649 7812477 8360721 8634843 9106263 11463669 14739003 17650411 18229113 19508349 21247947 23437431 25082163 34391007 52951233 54687339 58525047 63743841 75246489 103173021 123552877 158853699 164062017 175575141 370658631 476561097 526725423 1111975893 1429683291 3335927679 10007783037