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5009151744 = 28325234157
BaseRepresentation
bin1001010101001000…
…11001011100000000
3110221002121021101200
410222210121130000
540224320323434
62145015301200
7235063041642
oct45244313400
913832537350
105009151744
112140598933
12b7967a800
1361aa1431c
143573a4892
151e4b63199
hex12a919700

5009151744 has 108 divisors (see below), whose sum is σ = 14473715256. Its totient is φ = 1666123776.

The previous prime is 5009151737. The next prime is 5009151751. The reversal of 5009151744 is 4471519005.

5009151744 is a `hidden beast` number, since 50 + 0 + 91 + 517 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5009151737) and next prime (5009151751).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5009151699 and 5009151708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202914 + ... + 1207070.

It is an arithmetic number, because the mean of its divisors is an integer number (134015882).

Almost surely, 25009151744 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 5009151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236857628).

5009151744 is an abundant number, since it is smaller than the sum of its proper divisors (9464563512).

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

5009151744 is a wasteful number, since it uses less digits than its factorization.

5009151744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5009151744 is about 70775.3611364859. The cubic root of 5009151744 is about 1711.0185949392.

The spelling of 5009151744 in words is "five billion, nine million, one hundred fifty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 523 576 768 1046 1152 1569 2092 2304 3138 4157 4184 4707 6276 8314 8368 9414 12471 12552 16628 16736 18828 24942 25104 33256 33472 37413 37656 49884 50208 66512 66944 74826 75312 99768 100416 133024 133888 149652 150624 199536 200832 266048 299304 301248 399072 401664 532096 598608 602496 798144 1064192 1197216 1204992 1596288 2174111 2394432 3192576 4348222 4788864 6522333 8696444 9577728 13044666 17392888 19566999 26089332 34785776 39133998 52178664 69571552 78267996 104357328 139143104 156535992 208714656 278286208 313071984 417429312 556572416 626143968 834858624 1252287936 1669717248 2504575872 5009151744