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5155532640 = 253253796763
BaseRepresentation
bin1001100110100101…
…10010111101100000
3111022022001012020100
410303102302331200
541024304021030
62211324542400
7241521206256
oct46322627540
914268035210
105155532640
112206188a85
12bba6b1a00
13642146b3b
1436c9ca5d6
1520292a360
hex1334b2f60

5155532640 has 144 divisors (see below), whose sum is σ = 18068935248. Its totient is φ = 1337637888.

The previous prime is 5155532617. The next prime is 5155532663. The reversal of 5155532640 is 462355515.

5155532640 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 5 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5155532617) and next prime (5155532663).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5155532595 and 5155532604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 101661.

It is an arithmetic number, because the mean of its divisors is an integer number (125478717).

Almost surely, 25155532640 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 5155532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034467624).

5155532640 is an abundant number, since it is smaller than the sum of its proper divisors (12913402608).

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

5155532640 is a wasteful number, since it uses less digits than its factorization.

5155532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96821 (or 96810 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5155532640 is about 71802.0378540888. The cubic root of 5155532640 is about 1727.5256864342.

The spelling of 5155532640 in words is "five billion, one hundred fifty-five million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 96763 193526 290289 387052 483815 580578 774104 870867 967630 1161156 1451445 1548208 1741734 1935260 2322312 2902890 3096416 3483468 3580231 3870520 4354335 4644624 5805780 6966936 7160462 7741040 8708670 9289248 10740693 11611560 13933872 14320924 15482080 17417340 17901155 21481386 23223120 27867744 28641848 32222079 34834680 35802310 42962772 46446240 53703465 57283696 64444158 69669360 71604620 85925544 107406930 114567392 128888316 139338720 143209240 161110395 171851088 214813860 257776632 286418480 322220790 343702176 429627720 515553264 572836960 644441580 859255440 1031106528 1288883160 1718510880 2577766320 5155532640