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2633996064 = 253723193883
BaseRepresentation
bin1001110011111111…
…1001011100100000
320210120022212022210
42130333321130200
520343300333224
61113211402120
7122162411550
oct23477713440
96716285283
102633996064
111131905257
12616153340
1332c916a6b
141adb71160
15106398429
hex9cff9720

2633996064 has 192 divisors, whose sum is σ = 8297662464. Its totient is φ = 715309056.

The previous prime is 2633996051. The next prime is 2633996077. The reversal of 2633996064 is 4606993362.

It is an interprime number because it is at equal distance from previous prime (2633996051) and next prime (2633996077).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2982567 + ... + 2983449.

It is an arithmetic number, because the mean of its divisors is an integer number (43216992).

Almost surely, 22633996064 is an apocalyptic number.

2633996064 is a gapful number since it is divisible by the number (24) 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 2633996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148831232).

2633996064 is an abundant number, since it is smaller than the sum of its proper divisors (5663666400).

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

2633996064 is a wasteful number, since it uses less digits than its factorization.

2633996064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The square root of 2633996064 is about 51322.4713356635. The cubic root of 2633996064 is about 1381.0361300718.

The spelling of 2633996064 in words is "two billion, six hundred thirty-three million, nine hundred ninety-six thousand, sixty-four".