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5370517872 = 2432173170769
BaseRepresentation
bin1010000000001101…
…11001100101110000
3111212021120120112100
411000012321211300
541444323032442
62244524500400
7250041435336
oct50006714560
914767516470
105370517872
112306576625
12105a6aa700
13677849b35
1438d38db56
1521674484c
hex1401b9970

5370517872 has 120 divisors (see below), whose sum is σ = 16427698560. Its totient is φ = 1630494720.

The previous prime is 5370517853. The next prime is 5370517913. The reversal of 5370517872 is 2787150735.

5370517872 is a `hidden beast` number, since 53 + 7 + 0 + 517 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40504 + ... + 111272.

It is an arithmetic number, because the mean of its divisors is an integer number (136897488).

Almost surely, 25370517872 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 5370517872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213849280).

5370517872 is an abundant number, since it is smaller than the sum of its proper divisors (11057180688).

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

5370517872 is a wasteful number, since it uses less digits than its factorization.

5370517872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70831 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 5370517872 is about 73283.8172586554. The cubic root of 5370517872 is about 1751.2119900289.

The spelling of 5370517872 in words is "five billion, three hundred seventy million, five hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 18972 25296 37944 70769 75888 141538 212307 283076 424614 566152 636921 849228 1132304 1203073 1273842 1698456 2193839 2406146 2547684 3396912 3609219 4387678 4812292 5095368 6581517 7218438 8775356 9624584 10190736 10827657 13163034 14436876 17550712 19249168 19744551 21655314 26326068 28873752 35101424 37295263 39489102 43310628 52652136 57747504 74590526 78978204 86621256 105304272 111885789 149181052 157956408 173242512 223771578 298362104 315912816 335657367 447543156 596724208 671314734 895086312 1342629468 1790172624 2685258936 5370517872