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129216306770460 = 223257137888663417
BaseRepresentation
bin11101011000010110000100…
…000100000111001000011100
3121221111221212120221022112200
4131120112010010013020130
5113414034444013123320
61134453052444131500
736134366353155330
oct3530260404071034
9557457776838480
10129216306770460
1138199367567538
12125aab9b836b90
135714078ac0420
1423ca1618217c0
15ee132cb97290
hex75858410721c

129216306770460 has 144 divisors (see below), whose sum is σ = 482407545337536. Its totient is φ = 27263220765696.

The previous prime is 129216306770437. The next prime is 129216306770461. The reversal of 129216306770460 is 64077603612921.

129216306770460 is a `hidden beast` number, since 1 + 2 + 9 + 21 + 6 + 30 + 67 + 70 + 460 = 666.

It is a super-2 number, since 2×1292163067704602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129216306770397 and 129216306770406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129216306770461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3944315329 + ... + 3944348088.

Almost surely, 2129216306770460 is an apocalyptic number.

129216306770460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129216306770460 is an abundant number, since it is smaller than the sum of its proper divisors (353191238567076).

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

129216306770460 is a wasteful number, since it uses less digits than its factorization.

129216306770460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888663452 (or 7888663447 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 129216306770460 in words is "one hundred twenty-nine trillion, two hundred sixteen billion, three hundred six million, seven hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 7888663417 15777326834 23665990251 31554653668 39443317085 47331980502 55220643919 70997970753 78886634170 94663961004 102552624421 110441287838 118329951255 141995941506 157773268340 165661931757 205105248842 220882575676 236659902510 276103219595 283991883012 307657873263 331323863514 354989853765 410210497684 473319805020 496985795271 512763122105 552206439190 615315746526 662647727028 709979707530 717868370947 828309658785 922973619789 993971590542 1025526244210 1104412878380 1230631493052 1419959415060 1435736741894 1538289366315 1656619317570 1845947239578 1987943181084 2051052488420 2153605112841 2484928976355 2871473483788 3076578732630 3313238635140 3589341854735 3691894479156 4307210225682 4614868098945 4969857952710 6153157465260 6460815338523 7178683709470 8614420451364 9229736197890 9939715905420 10768025564205 12921630677046 14357367418940 18459472395780 21536051128410 25843261354092 32304076692615 43072102256820 64608153385230 129216306770460