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5078674304 = 271171101503
BaseRepresentation
bin1001011101011011…
…00110101110000000
3111002221102101102022
410232231212232000
540400120034204
62155541341012
7236566006424
oct45655465600
914087371368
105078674304
1121768631a0
12b98a07768
1362c246732
14362700b84
151eace75be
hex12eb66b80

5078674304 has 128 divisors (see below), whose sum is σ = 11326210560. Its totient is φ = 2248960000.

The previous prime is 5078674219. The next prime is 5078674309. The reversal of 5078674304 is 4034768705.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50786743042 = 51585865372219768832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5078674309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096517 + ... + 10097019.

It is an arithmetic number, because the mean of its divisors is an integer number (88486020).

Almost surely, 25078674304 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 5078674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663105280).

5078674304 is an abundant number, since it is smaller than the sum of its proper divisors (6247536256).

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

5078674304 is a wasteful number, since it uses less digits than its factorization.

5078674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The square root of 5078674304 is about 71264.8181363006. The cubic root of 5078674304 is about 1718.8980574710.

The spelling of 5078674304 in words is "five billion, seventy-eight million, six hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 101 128 142 176 202 284 352 404 503 568 704 781 808 1006 1111 1136 1408 1562 1616 2012 2222 2272 3124 3232 4024 4444 4544 5533 6248 6464 7171 8048 8888 9088 11066 12496 12928 14342 16096 17776 22132 24992 28684 32192 35552 35713 44264 49984 50803 57368 64384 71104 71426 78881 88528 99968 101606 114736 142208 142852 157762 177056 203212 229472 285704 315524 354112 392843 406424 458944 558833 571408 631048 708224 785686 812848 917888 1117666 1142816 1262096 1571372 1625696 2235332 2285632 2524192 3142744 3251392 3607013 4470664 4571264 5048384 6285488 6502784 7214026 8941328 10096768 12570976 14428052 17882656 25141952 28856104 35765312 39677143 50283904 57712208 71530624 79354286 115424416 158708572 230848832 317417144 461697664 634834288 1269668576 2539337152 5078674304