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2672161761420 = 2232573991921859
BaseRepresentation
bin100110111000101001010…
…000001010100010001100
3100110110022112210012111200
4212320221100022202030
5322240041402331140
65403324004145500
7364025442131124
oct46705120124214
910413275705450
102672161761420
11940291718838
12371a71698290
13164ca346c998
14934948b1c84
1549798123030
hex26e2940a88c

2672161761420 has 144 divisors (see below), whose sum is σ = 8125729248000. Its totient is φ = 710805373056.

The previous prime is 2672161761389. The next prime is 2672161761517. The reversal of 2672161761420 is 241671612762.

2672161761420 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 1 + 6 + 1 + 7 + 614 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122234451 + ... + 122256309.

Almost surely, 22672161761420 is an apocalyptic number.

2672161761420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672161761420 is an abundant number, since it is smaller than the sum of its proper divisors (5453567486580).

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

2672161761420 is a wasteful number, since it uses less digits than its factorization.

2672161761420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23532 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2672161761420 in words is "two trillion, six hundred seventy-two billion, one hundred sixty-one million, seven hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 739 919 1478 1838 2217 2757 2956 3676 3695 4434 4595 5514 6651 7390 8271 8868 9190 11028 11085 13302 13785 14780 16542 18380 21859 22170 26604 27570 33084 33255 41355 43718 44340 55140 65577 66510 82710 87436 109295 131154 133020 165420 196731 218590 262308 327885 393462 437180 655770 679141 786924 983655 1311540 1358282 1967310 2037423 2716564 3395705 3934620 4074846 6112269 6791410 8149692 10187115 12224538 13582820 16153801 20088421 20374230 24449076 30561345 32307602 40176842 40748460 48461403 60265263 61122690 64615204 80353684 80769005 96922806 100442105 120530526 122245380 145384209 161538010 180795789 193845612 200884210 241061052 242307015 290768418 301326315 323076020 361591578 401768420 484614030 581536836 602652630 723183156 726921045 903978945 969228060 1205305260 1453842090 1807957890 2907684180 3615915780 14845343119 29690686238 44536029357 59381372476 74226715595 89072058714 133608088071 148453431190 178144117428 222680146785 267216176142 296906862380 445360293570 534432352284 668040440355 890720587140 1336080880710 2672161761420