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261504546420 = 2235132191357337
BaseRepresentation
bin1111001110001011100…
…0101011011001110100
3220222222200221100221010
43303202320223121310
513241030130441140
6320044501552220
724615216653265
oct3634270533164
9828880840833
10261504546420
11a09a3554257
1242821415670
131b8766a0b00
14c92a6dc96c
156c07d1d880
hex3ce2e2b674

261504546420 has 144 divisors (see below), whose sum is σ = 834599989440. Its totient is φ = 60982391808.

The previous prime is 261504546403. The next prime is 261504546421. The reversal of 261504546420 is 24645405162.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261504546421) 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, 486009 + ... + 871328.

It is an arithmetic number, because the mean of its divisors is an integer number (5795833260).

Almost surely, 2261504546420 is an apocalyptic number.

261504546420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261504546420 is an abundant number, since it is smaller than the sum of its proper divisors (573095443020).

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

261504546420 is a wasteful number, since it uses less digits than its factorization.

261504546420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357394 (or 1357379 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 261504546420 in words is "two hundred sixty-one billion, five hundred four million, five hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 228 247 260 285 338 380 390 494 507 570 676 741 780 845 988 1014 1140 1235 1482 1690 2028 2470 2535 2964 3211 3380 3705 4940 5070 6422 7410 9633 10140 12844 14820 16055 19266 32110 38532 48165 64220 96330 192660 1357337 2714674 4072011 5429348 6786685 8144022 13573370 16288044 17645381 20360055 25789403 27146740 35290762 40720110 51578806 52936143 70581524 77368209 81440220 88226905 103157612 105872286 128947015 154736418 176453810 211744572 229389953 257894030 264680715 309472836 335262239 352907620 386841045 458779906 515788060 529361430 670524478 688169859 773682090 917559812 1005786717 1058722860 1146949765 1341048956 1376339718 1547364180 1676311195 2011573434 2293899530 2752679436 3352622390 3440849295 4023146868 4358409107 4587799060 5028933585 6705244780 6881698590 8716818214 10057867170 13075227321 13763397180 17433636428 20115734340 21792045535 26150454642 43584091070 52300909284 65376136605 87168182140 130752273210 261504546420