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3983376996 = 22326721572
BaseRepresentation
bin1110110101101101…
…1000001001100100
3101021121102111222100
43231123120021210
531124221030441
61455133332100
7200466101004
oct35533301144
911247374870
103983376996
111764570105
12932037030
134b6351411
1429b068004
15184a8ecb6
hexed6d8264

3983376996 has 81 divisors (see below), whose sum is σ = 10287140409. Its totient is φ = 1299643488.

The previous prime is 3983376967. The next prime is 3983377009. The reversal of 3983376996 is 6996733893.

The square root of 3983376996 is 63114.

It is a perfect power (a square), and thus also a powerful number.

3983376996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1167588900 + 2815788096 = 34170^2 + 53064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25371750 + ... + 25371906.

Almost surely, 23983376996 is an apocalyptic number.

3983376996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3983376996 is the 63114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983376996

3983376996 is an abundant number, since it is smaller than the sum of its proper divisors (6303763413).

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

3983376996 is a wasteful number, since it uses less digits than its factorization.

3983376996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The cubic root of 3983376996 is about 1585.1990509864.

The spelling of 3983376996 in words is "three billion, nine hundred eighty-three million, three hundred seventy-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 157 201 268 314 402 471 603 628 804 942 1206 1413 1884 2412 2826 4489 5652 8978 10519 13467 17956 21038 24649 26934 31557 40401 42076 49298 53868 63114 73947 80802 94671 98596 126228 147894 161604 189342 221841 295788 378684 443682 704773 887364 1409546 1651483 2114319 2819092 3302966 4228638 4954449 6342957 6605932 8457276 9908898 12685914 14863347 19817796 25371828 29726694 59453388 110649361 221298722 331948083 442597444 663896166 995844249 1327792332 1991688498 3983376996