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4992643620 = 22325314719037
BaseRepresentation
bin1001010011001010…
…11011001000100100
3110212221112120111200
410221211123020210
540211104043440
62143225402500
7234502525206
oct45145331044
913787476450
104992643620
112132243058
12b74039430
136174843c3
14355108776
151e34a1c30
hex12995b224

4992643620 has 144 divisors (see below), whose sum is σ = 15966332928. Its totient is φ = 1260944640.

The previous prime is 4992643583. The next prime is 4992643627. The reversal of 4992643620 is 263462994.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4992643627) 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, 252742 + ... + 271778.

It is an arithmetic number, because the mean of its divisors is an integer number (110877312).

Almost surely, 24992643620 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 4992643620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983166464).

4992643620 is an abundant number, since it is smaller than the sum of its proper divisors (10973689308).

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

4992643620 is a wasteful number, since it uses less digits than its factorization.

4992643620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4992643620 is about 70658.6415097262. The cubic root of 4992643620 is about 1709.1369195383.

The spelling of 4992643620 in words is "four billion, nine hundred ninety-two million, six hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 4230 4371 5580 5828 7285 8460 8742 13113 14570 17484 19037 21855 26226 29140 38074 43710 52452 57111 65565 76148 87420 95185 114222 131130 171333 190370 228444 262260 285555 342666 380740 571110 590147 685332 856665 894739 1142220 1180294 1713330 1770441 1789478 2360588 2684217 2950735 3426660 3540882 3578956 4473695 5311323 5368434 5901470 7081764 8052651 8852205 8947390 10622646 10736868 11802940 13421085 16105302 17704410 17894780 21245292 26556615 26842170 27736909 32210604 35408820 40263255 53113230 53684340 55473818 80526510 83210727 106226460 110947636 138684545 161053020 166421454 249632181 277369090 332842908 416053635 499264362 554738180 832107270 998528724 1248160905 1664214540 2496321810 4992643620