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129682696240 = 24561113235171
BaseRepresentation
bin111100011000110110…
…0001110100000110000
3110101201210212112200201
41320301230032200300
54111042232234430
6135324142124544
712240441505336
oct1706154164060
9411653775621
10129682696240
114aaa8557119
1221172580754
13c2c9228926
1463c32adb56
1535900878ca
hex1e31b0e830

129682696240 has 80 divisors (see below), whose sum is σ = 309168399456. Its totient is φ = 50570956800.

The previous prime is 129682696237. The next prime is 129682696271. The reversal of 129682696240 is 42696286921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1296826962402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433855 + ... + 669025.

Almost surely, 2129682696240 is an apocalyptic number.

129682696240 is a gapful number since it is divisible by the number (10) 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 129682696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154584199728).

129682696240 is an abundant number, since it is smaller than the sum of its proper divisors (179485703216).

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

129682696240 is a wasteful number, since it uses less digits than its factorization.

129682696240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235358 (or 235352 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 129682696240 in words is "one hundred twenty-nine billion, six hundred eighty-two million, six hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 113 122 226 244 305 452 488 565 610 904 976 1130 1220 1808 2260 2440 4520 4880 6893 9040 13786 27572 34465 55144 68930 110288 137860 235171 275720 470342 551440 940684 1175855 1881368 2351710 3762736 4703420 9406840 14345431 18813680 26574323 28690862 53148646 57381724 71727155 106297292 114763448 132871615 143454310 212594584 229526896 265743230 286908620 425189168 531486460 573817240 1062972920 1147634480 1621033703 2125945840 3242067406 6484134812 8105168515 12968269624 16210337030 25936539248 32420674060 64841348120 129682696240