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129101910672 = 2437751511627
BaseRepresentation
bin111100000111100010…
…0101101001010010000
3110100020100000120200010
41320033010231022100
54103400042120142
6135150353554520
712220160064060
oct1701704551220
9410210016603
10129101910672
114a82a732349
122102bb75a40
13c235ac9a27
14636a0c93a0
1535590b2e9c
hex1e0f12d290

129101910672 has 80 divisors (see below), whose sum is σ = 381666301952. Its totient is φ = 36837072000.

The previous prime is 129101910601. The next prime is 129101910683. The reversal of 129101910672 is 276019101921.

It is a super-2 number, since 2×1291019106722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129101910672.

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, 3478 + ... + 508149.

Almost surely, 2129101910672 is an apocalyptic number.

129101910672 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 129101910672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190833150976).

129101910672 is an abundant number, since it is smaller than the sum of its proper divisors (252564391280).

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

129101910672 is a wasteful number, since it uses less digits than its factorization.

129101910672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512396 (or 512390 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 39.

It can be divided in two parts, 1291019 and 10672, that added together give a triangular number (1301691 = T1613).

The spelling of 129101910672 in words is "one hundred twenty-nine billion, one hundred one million, nine hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 751 1502 2253 3004 4506 5257 6008 9012 10514 12016 15771 18024 21028 31542 36048 42056 63084 84112 126168 252336 511627 1023254 1534881 2046508 3069762 3581389 4093016 6139524 7162778 8186032 10744167 12279048 14325556 21488334 24558096 28651112 42976668 57302224 85953336 171906672 384231877 768463754 1152695631 1536927508 2305391262 2689623139 3073855016 4610782524 5379246278 6147710032 8068869417 9221565048 10758492556 16137738834 18443130096 21516985112 32275477668 43033970224 64550955336 129101910672