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51040270848 = 293716329123
BaseRepresentation
bin101111100010001111…
…001011101000000000
311212202002021101221210
4233202033023220000
51314012302131343
635240402050120
73454553100240
oct574217135000
9155662241853
1051040270848
111a7119a1a26
129a85349940
134a75439ac8
142682961b20
1514dad7d333
hexbe23cba00

51040270848 has 160 divisors (see below), whose sum is σ = 156358135296. Its totient is φ = 14492971008.

The previous prime is 51040270847. The next prime is 51040270901. The reversal of 51040270848 is 84807204015.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51040270847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1738015 + ... + 1767137.

Almost surely, 251040270848 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 51040270848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78179067648).

51040270848 is an abundant number, since it is smaller than the sum of its proper divisors (105317864448).

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

51040270848 is a wasteful number, since it uses less digits than its factorization.

51040270848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29314 (or 29298 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 51040270848 in words is "fifty-one billion, forty million, two hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 512 652 672 768 896 978 1141 1304 1344 1536 1792 1956 2282 2608 2688 3423 3584 3912 4564 5216 5376 6846 7824 9128 10432 10752 13692 15648 18256 20864 27384 29123 31296 36512 41728 54768 58246 62592 73024 83456 87369 109536 116492 125184 146048 174738 203861 219072 232984 250368 292096 349476 407722 438144 465968 584192 611583 698952 815444 876288 931936 1223166 1397904 1630888 1752576 1863872 2446332 2795808 3261776 3727744 4747049 4892664 5591616 6523552 7455488 9494098 9785328 11183232 13047104 14241147 14910976 18988196 19570656 22366464 26094208 28482294 33229343 37976392 39141312 44732928 52188416 56964588 66458686 75952784 78282624 99688029 104376832 113929176 132917372 151905568 156565248 199376058 227858352 265834744 303811136 313130496 398752116 455716704 531669488 607622272 797504232 911433408 1063338976 1215244544 1595008464 1822866816 2126677952 2430489088 3190016928 3645733632 4253355904 6380033856 7291467264 8506711808 12760067712 17013423616 25520135424 51040270848