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2245036601660 = 2251967329926729
BaseRepresentation
bin100000101010110110100…
…110111111000100111100
321221121211110102221120012
4200222312212333010330
5243240313332223120
64435204445442352
7321125046152516
oct40526646770474
97847743387505
102245036601660
117961296a7436
1230312a2703b8
1313392423b468
147a93600abb6
153d5ea1c01c5
hex20ab69bf13c

2245036601660 has 96 divisors (see below), whose sum is σ = 5038498080000. Its totient is φ = 837767563776.

The previous prime is 2245036601653. The next prime is 2245036601779. The reversal of 2245036601660 is 661066305422.

It is a happy number.

It is a super-4 number, since 4×22450366016604 (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83979176 + ... + 84005904.

It is an arithmetic number, because the mean of its divisors is an integer number (52484355000).

Almost surely, 22245036601660 is an apocalyptic number.

2245036601660 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 2245036601660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519249040000).

2245036601660 is an abundant number, since it is smaller than the sum of its proper divisors (2793461478340).

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

2245036601660 is a wasteful number, since it uses less digits than its factorization.

2245036601660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30123 (or 30121 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 2245036601660 in words is "two trillion, two hundred forty-five billion, thirty-six million, six hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 3299 5092 6365 6598 12730 13196 16495 25460 26729 32990 53458 62681 65980 106916 125362 133645 221033 250724 267290 313405 442066 507851 534580 626810 884132 1015702 1105165 1253620 1790843 2031404 2210330 2539255 3581686 4199627 4420660 5078510 7163372 8399254 8954215 10157020 16798508 17908430 20998135 34026017 35816860 41996270 68052034 83992540 88178971 136104068 170130085 176357942 340260170 352715884 440894855 680520340 881789710 1675400449 1763579420 3350800898 5907991057 6701601796 8377002245 11815982114 16754004490 23631964228 29539955285 33508008980 59079910570 112251830083 118159821140 224503660166 449007320332 561259150415 1122518300830 2245036601660