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20077072002 = 23213237152541
BaseRepresentation
bin10010101100101011…
…111100111010000010
31220211012112221011100
4102230223330322002
5312104212301002
613120121155230
71310346203421
oct225453747202
956735487140
1020077072002
118572a90399
123a8392bb16
131b7c651380
14d866292b8
157c78e211c
hex4acafce82

20077072002 has 96 divisors (see below), whose sum is σ = 49572746496. Its totient is φ = 5825635200.

The previous prime is 20077071953. The next prime is 20077072007. The reversal of 20077072002 is 20027077002.

It is not an unprimeable number, because it can be changed into a prime (20077072007) 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, 355852 + ... + 408392.

It is an arithmetic number, because the mean of its divisors is an integer number (516382776).

Almost surely, 220077072002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20077072002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786373248).

20077072002 is an abundant number, since it is smaller than the sum of its proper divisors (29495674494).

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

20077072002 is a wasteful number, since it uses less digits than its factorization.

20077072002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52656 (or 52653 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

Subtracting from 20077072002 its reverse (20027077002), we obtain a triangular number (49995000 = T9999).

The spelling of 20077072002 in words is "twenty billion, seventy-seven million, seventy-two thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 71 78 117 138 142 207 213 234 299 414 426 598 639 897 923 1278 1633 1794 1846 2691 2769 3266 4899 5382 5538 8307 9798 14697 16614 21229 29394 42458 52541 63687 105082 127374 157623 191061 315246 382122 472869 683033 945738 1208443 1366066 2049099 2416886 3625329 3730411 4098198 6147297 7250658 7460822 10875987 11191233 12294594 15709759 21751974 22382466 31419518 33573699 47129277 48495343 67147398 85799453 94258554 96990686 141387831 145486029 171598906 257398359 282775662 290972058 436458087 514796718 772195077 872916174 1115392889 1544390154 2230785778 3346178667 6692357334 10038536001 20077072002