Search a number
-
+
51407503329 = 3731331532339
BaseRepresentation
bin101111111000001000…
…000011111111100001
311220200200021202012210
4233320020003333201
51320240310101304
635341041112333
73466632366000
oct577010037741
9156620252183
1051407503329
111a890217146
129b683286a9
134b03547830
1426b9636c37
15150d21cc89
hexbf8203fe1

51407503329 has 128 divisors (see below), whose sum is σ = 90574848000. Its totient is φ = 25735207680.

The previous prime is 51407503321. The next prime is 51407503331. The reversal of 51407503329 is 92330570415.

It is a happy number.

It is not a de Polignac number, because 51407503329 - 23 = 51407503321 is a prime.

It is a super-2 number, since 2×514075033292 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51407503321) 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 127 ways as a sum of consecutive naturals, for example, 21977242 + ... + 21979580.

It is an arithmetic number, because the mean of its divisors is an integer number (707616000).

Almost surely, 251407503329 is an apocalyptic number.

It is an amenable number.

51407503329 is a deficient number, since it is larger than the sum of its proper divisors (39167344671).

51407503329 is a wasteful number, since it uses less digits than its factorization.

51407503329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 51407503329 in words is "fifty-one billion, four hundred seven million, five hundred three thousand, three hundred twenty-nine".

Divisors: 1 3 7 13 21 31 39 49 53 91 93 147 159 217 273 343 371 403 637 651 689 1029 1113 1209 1519 1643 1911 2067 2339 2597 2821 4459 4557 4823 4929 7017 7791 8463 10633 11501 13377 14469 16373 18179 19747 21359 30407 31899 33761 34503 49119 54537 59241 64077 72509 80507 91221 101283 114611 123967 138229 149513 212849 217527 236327 241521 343833 371901 414687 448539 507563 563549 638547 708981 802277 867769 942617 1046591 1489943 1522689 1611571 1690647 2406831 2603307 2827851 3139773 3552941 3842977 4469829 4834713 6074383 6598319 7326137 10429601 10658823 11280997 11528931 18223149 19794957 21978411 24870587 26900839 31288803 33842991 42520681 46188233 49958701 74611761 78966979 80702517 127562043 138564699 149876103 188305873 236900937 323317631 349710907 552768853 564917619 969952893 1049132721 1318141111 1658306559 2447976349 3954423333 7343929047 17135834443 51407503329