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1216944972 = 22351737237
BaseRepresentation
bin100100010001001…
…0001101101001100
310010210220012200000
41020202101231030
54443014214342
6320431204300
742104601345
oct11042215514
93123805600
101216944972
11574a2a851
1229b676690
131651781a9
14b78a10cc
1571c8644c
hex48891b4c

1216944972 has 72 divisors (see below), whose sum is σ = 3208981776. Its totient is φ = 403247808.

The previous prime is 1216944961. The next prime is 1216944977. The reversal of 1216944972 is 2794496121.

It is not an unprimeable number, because it can be changed into a prime (1216944977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164538 + ... + 171774.

Almost surely, 21216944972 is an apocalyptic number.

1216944972 is a gapful number since it is divisible by the number (12) 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 1216944972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604490888).

1216944972 is an abundant number, since it is smaller than the sum of its proper divisors (1992036804).

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

1216944972 is a wasteful number, since it uses less digits than its factorization.

1216944972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7415 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1216944972 is about 34884.7383822783. The cubic root of 1216944972 is about 1067.6370752720.

The spelling of 1216944972 in words is "one billion, two hundred sixteen million, nine hundred forty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 243 324 346 486 519 692 972 1038 1557 2076 3114 4671 6228 7237 9342 14013 14474 18684 21711 28026 28948 42039 43422 56052 65133 84078 86844 130266 168156 195399 260532 390798 586197 781596 1172394 1252001 1758591 2344788 2504002 3517182 3756003 5008004 7034364 7512006 11268009 15024012 22536018 33804027 45072036 67608054 101412081 135216108 202824162 304236243 405648324 608472486 1216944972