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20120450416 = 24112315132917
BaseRepresentation
bin10010101111010001…
…011011010101110000
31220221020011210011021
4102233101123111300
5312201313403131
613124311025224
71311414002203
oct225721332560
956836153137
1020120450416
118595519220
123a9636b214
131b8862b881
14d8c2bb93a
157cb60ee11
hex4af45b570

20120450416 has 80 divisors (see below), whose sum is σ = 44671569408. Its totient is φ = 8689824000.

The previous prime is 20120450411. The next prime is 20120450417. The reversal of 20120450416 is 61405402102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120450411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594790 + ... + 627706.

Almost surely, 220120450416 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 20120450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335784704).

20120450416 is an abundant number, since it is smaller than the sum of its proper divisors (24551118992).

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

20120450416 is a wasteful number, since it uses less digits than its factorization.

20120450416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33110 (or 33104 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 20120450416 its reverse (61405402102), we get a palindrome (81525852518).

The spelling of 20120450416 in words is "twenty billion, one hundred twenty million, four hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 151 176 184 253 302 368 506 604 1012 1208 1661 2024 2416 3322 3473 4048 6644 6946 13288 13892 26576 27784 32917 38203 55568 65834 76406 131668 152812 263336 305624 362087 526672 611248 724174 757091 1448348 1514182 2896696 3028364 4970467 5793392 6056728 8328001 9940934 12113456 16656002 19881868 33312004 39763736 54675137 66624008 79527472 109350274 114320741 133248016 218700548 228641482 437401096 457282964 874802192 914565928 1257528151 1829131856 2515056302 5030112604 10060225208 20120450416