Search a number
-
+
129303257472 = 2734101123479
BaseRepresentation
bin111100001101100010…
…0110010000110000000
3110100202100220001120000
41320123010302012000
54104303113214342
6135222345320000
712225153361014
oct1703304620600
9410670801500
10129303257472
114a923355164
1221087496000
13c26873604c
146388b3c544
15356bad644c
hex1e1b132180

129303257472 has 160 divisors (see below), whose sum is σ = 388617490800. Its totient is φ = 42673996800.

The previous prime is 129303257471. The next prime is 129303257483. The reversal of 129303257472 is 274752303921.

129303257472 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 0 + 3 + 2 + 574 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129303257471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 985429 + ... + 1108907.

Almost surely, 2129303257472 is an apocalyptic number.

129303257472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129303257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194308745400).

129303257472 is an abundant number, since it is smaller than the sum of its proper divisors (259314233328).

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

129303257472 is a wasteful number, since it uses less digits than its factorization.

129303257472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123606 (or 123585 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 129303257472 in words is "one hundred twenty-nine billion, three hundred three million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 128 144 162 192 202 216 288 303 324 384 404 432 576 606 648 808 864 909 1152 1212 1296 1616 1728 1818 2424 2592 2727 3232 3456 3636 4848 5184 5454 6464 7272 8181 9696 10368 10908 12928 14544 16362 19392 21816 29088 32724 38784 43632 58176 65448 87264 116352 123479 130896 174528 246958 261792 349056 370437 493916 523584 740874 987832 1047168 1111311 1481748 1975664 2222622 2963496 3333933 3951328 4445244 5926992 6667866 7902656 8890488 10001799 11853984 12471379 13335732 15805312 17780976 20003598 23707968 24942758 26671464 35561952 37414137 40007196 47415936 49885516 53342928 71123904 74828274 80014392 99771032 106685856 112242411 142247808 149656548 160028784 199542064 213371712 224484822 299313096 320057568 336727233 399084128 426743424 448969644 598626192 640115136 673454466 798168256 897939288 1010181699 1197252384 1280230272 1346908932 1596336512 1795878576 2020363398 2394504768 2693817864 3591757152 4040726796 4789009536 5387635728 7183514304 8081453592 10775271456 14367028608 16162907184 21550542912 32325814368 43101085824 64651628736 129303257472