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5335016148 = 223271110717987
BaseRepresentation
bin1001111011111110…
…11110001011010100
3111202210202220022200
410331333132023110
541411231004043
62241215524500
7246130613640
oct47577361324
914683686280
105335016148
112298528660
12104a829730
136703998b7
1438878bc20
152135807d3
hex13dfde2d4

5335016148 has 144 divisors (see below), whose sum is σ = 16971462144. Its totient is φ = 1372691520.

The previous prime is 5335016147. The next prime is 5335016153. The reversal of 5335016148 is 8416105335.

5335016148 is a `hidden beast` number, since 5 + 3 + 3 + 501 + 6 + 148 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335016147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287611 + ... + 305597.

It is an arithmetic number, because the mean of its divisors is an integer number (117857376).

Almost surely, 25335016148 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 5335016148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485731072).

5335016148 is an abundant number, since it is smaller than the sum of its proper divisors (11636445996).

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

5335016148 is a wasteful number, since it uses less digits than its factorization.

5335016148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122 (or 18117 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5335016148 is about 73041.1948697446. The cubic root of 5335016148 is about 1747.3446694013.

The spelling of 5335016148 in words is "five billion, three hundred thirty-five million, sixteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 107 126 132 154 198 214 231 252 308 321 396 428 462 642 693 749 924 963 1177 1284 1386 1498 1926 2247 2354 2772 2996 3531 3852 4494 4708 6741 7062 8239 8988 10593 13482 14124 16478 17987 21186 24717 26964 32956 35974 42372 49434 53961 71948 74151 98868 107922 125909 148302 161883 197857 215844 251818 296604 323766 377727 395714 503636 593571 647532 755454 791428 1133181 1187142 1384999 1510908 1780713 1924609 2266362 2374284 2769998 3561426 3849218 4154997 4532724 5539996 5773827 7122852 7698436 8309994 11547654 12464991 13472263 16619988 17321481 21170699 23095308 24929982 26944526 34642962 40416789 42341398 49859964 53889052 63512097 69285924 80833578 84682796 121250367 127024194 148194893 161667156 190536291 242500734 254048388 296389786 381072582 444584679 485001468 592779572 762145164 889169358 1333754037 1778338716 2667508074 5335016148