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20661507060 = 22351983218363
BaseRepresentation
bin10011001111100001…
…011001001111110100
31222022221021022100020
4103033201121033310
5314303321211220
613254115445140
71331003624625
oct231741311764
958287238306
1020661507060
118842978077
1240075b67b0
131c4375a42c
1410000bda4c
1580dd88040
hex4cf8593f4

20661507060 has 96 divisors (see below), whose sum is σ = 61631055360. Its totient is φ = 5156836992.

The previous prime is 20661507059. The next prime is 20661507071. The reversal of 20661507060 is 6070516602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14562 + ... + 203801.

It is an arithmetic number, because the mean of its divisors is an integer number (641990160).

Almost surely, 220661507060 is an apocalyptic number.

20661507060 is a gapful number since it is divisible by the number (20) 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 20661507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30815527680).

20661507060 is an abundant number, since it is smaller than the sum of its proper divisors (40969548300).

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

20661507060 is a wasteful number, since it uses less digits than its factorization.

20661507060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218477 (or 218475 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 20661507060 in words is "twenty billion, six hundred sixty-one million, five hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 83 95 114 166 190 228 249 285 332 380 415 498 570 830 996 1140 1245 1577 1660 2490 3154 4731 4980 6308 7885 9462 15770 18924 23655 31540 47310 94620 218363 436726 655089 873452 1091815 1310178 2183630 2620356 3275445 4148897 4367260 6550890 8297794 12446691 13101780 16595588 18124129 20744485 24893382 36248258 41488970 49786764 54372387 62233455 72496516 82977940 90620645 108744774 124466910 181241290 217489548 248933820 271861935 344358451 362482580 543723870 688716902 1033075353 1087447740 1377433804 1721792255 2066150706 3443584510 4132301412 5165376765 6887169020 10330753530 20661507060