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48122208848 = 2472943477331
BaseRepresentation
bin101100110100010011…
…101010001001010000
311121012201102111102102
4230310103222021100
51242023241140343
634035041535532
73322341011660
oct546423521120
9147181374372
1048122208848
111945480683a
1293b00445a8
1346cba13abc
1424871a81a0
1513b9ac23b8
hexb344ea250

48122208848 has 160 divisors (see below), whose sum is σ = 115209768960. Its totient is φ = 19033136640.

The previous prime is 48122208829. The next prime is 48122208857. The reversal of 48122208848 is 84880222184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6560543 + ... + 6567873.

It is an arithmetic number, because the mean of its divisors is an integer number (720061056).

Almost surely, 248122208848 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 48122208848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57604884480).

48122208848 is an abundant number, since it is smaller than the sum of its proper divisors (67087560112).

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

48122208848 is a wasteful number, since it uses less digits than its factorization.

48122208848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7459 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 47.

The spelling of 48122208848 in words is "forty-eight billion, one hundred twenty-two million, two hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 43 47 56 58 86 94 112 116 172 188 203 232 301 329 344 376 406 464 602 658 688 752 812 1204 1247 1316 1363 1624 2021 2408 2494 2632 2726 3248 4042 4816 4988 5264 5452 7331 8084 8729 9541 9976 10904 14147 14662 16168 17458 19082 19952 21808 28294 29324 32336 34916 38164 51317 56588 58609 58648 69832 76328 102634 113176 117218 117296 139664 152656 205268 212599 226352 234436 315233 344557 410263 410536 425198 468872 630466 689114 820526 821072 850396 937744 1260932 1378228 1488193 1641052 1700792 2206631 2411899 2521864 2756456 2976386 3282104 3401584 4413262 4823798 5043728 5512912 5952772 6564208 8826524 9141757 9647596 9992153 11905544 14815951 17653048 18283514 19295192 19984306 23811088 29631902 35306096 36567028 38590384 39968612 59263804 63992299 69945071 73134056 79937224 103711657 118527608 127984598 139890142 146268112 159874448 207423314 237055216 255969196 279780284 414846628 429662579 511938392 559560568 829693256 859325158 1023876784 1119121136 1659386512 1718650316 3007638053 3437300632 6015276106 6874601264 12030552212 24061104424 48122208848