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1216949272 = 23711329563
BaseRepresentation
bin100100010001001…
…0010110000011000
310010210220102120021
41020202102300120
54443014334042
6320431240224
742104620030
oct11042226030
93123812507
101216949272
11574a33000
1229b679074
1316517a136
14b78a28c0
1571c87867
hex48892c18

1216949272 has 128 divisors (see below), whose sum is σ = 2972505600. Its totient is φ = 456973440.

The previous prime is 1216949257. The next prime is 1216949287. The reversal of 1216949272 is 2729496121.

It is an interprime number because it is at equal distance from previous prime (1216949257) and next prime (1216949287).

It is an alternating number because its digits alternate between odd and even.

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, 2161263 + ... + 2161825.

It is an arithmetic number, because the mean of its divisors is an integer number (23222700).

Almost surely, 21216949272 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 1216949272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486252800).

1216949272 is an abundant number, since it is smaller than the sum of its proper divisors (1755556328).

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

1216949272 is a wasteful number, since it uses less digits than its factorization.

1216949272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 612 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 1216949272 is about 34884.8000137596. The cubic root of 1216949272 is about 1067.6383327471.

The spelling of 1216949272 in words is "one billion, two hundred sixteen million, nine hundred forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 121 154 203 232 242 308 319 406 484 563 616 638 812 847 968 1126 1276 1331 1624 1694 2233 2252 2552 2662 3388 3509 3941 4466 4504 5324 6193 6776 7018 7882 8932 9317 10648 12386 14036 15764 16327 17864 18634 24563 24772 28072 31528 32654 37268 38599 43351 49126 49544 65308 68123 74536 77198 86702 98252 114289 130616 136246 154396 173404 179597 196504 228578 270193 272492 308792 346808 359194 457156 476861 540386 544984 718388 749353 914312 953722 1080772 1257179 1436776 1498706 1907444 1975567 2161544 2514358 2997412 3814888 3951134 5028716 5245471 5994824 7902268 10057432 10490942 13828969 15804536 20981884 21731237 27657938 41963768 43462474 55315876 86924948 110631752 152118659 173849896 304237318 608474636 1216949272