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20201618376 = 233513974761
BaseRepresentation
bin10010110100000111…
…000011101111001000
31221010212220112200000
4102310013003233020
5312333103242001
613140330443000
71313420631402
oct226407035710
957125815600
1020201618376
118627317985
123ab9593460
131b9c3aa754
14d98da9b72
157d37e4a86
hex4b41c3bc8

20201618376 has 96 divisors (see below), whose sum is σ = 57148072800. Its totient is φ = 6685338240.

The previous prime is 20201618329. The next prime is 20201618401. The reversal of 20201618376 is 67381610202.

20201618376 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 618 + 37 + 6 = 666.

It is a super-4 number, since 4×202016183764 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20201618376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232836 + ... + 307596.

It is an arithmetic number, because the mean of its divisors is an integer number (595292425).

Almost surely, 220201618376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201618376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28574036400).

20201618376 is an abundant number, since it is smaller than the sum of its proper divisors (36946454424).

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

20201618376 is a wasteful number, since it uses less digits than its factorization.

20201618376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74921 (or 74905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20201618376 in words is "twenty billion, two hundred one million, six hundred eighteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 243 278 324 417 486 556 648 834 972 1112 1251 1668 1944 2502 3336 3753 5004 7506 10008 11259 15012 22518 30024 33777 45036 67554 74761 90072 135108 149522 224283 270216 299044 448566 598088 672849 897132 1345698 1794264 2018547 2691396 4037094 5382792 6055641 8074188 10391779 12111282 16148376 18166923 20783558 24222564 31175337 36333846 41567116 48445128 62350674 72667692 83134232 93526011 124701348 145335384 187052022 249402696 280578033 374104044 561156066 748208088 841734099 1122312132 1683468198 2244624264 2525202297 3366936396 5050404594 6733872792 10100809188 20201618376