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10160701628 = 22711232575581
BaseRepresentation
bin10010111011010000…
…00000000010111100
3222020010011010022112
421131220000002330
5131302114423003
64400123033152
7506535352550
oct113550000274
928203133275
1010160701628
1143444a6580
121b7696b7b8
13c5c0953ac
146c5635860
153e70533d8
hex25da000bc

10160701628 has 96 divisors (see below), whose sum is σ = 23226835968. Its totient is φ = 3771187200.

The previous prime is 10160701591. The next prime is 10160701637. The reversal of 10160701628 is 82610706101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10160701594 and 10160701603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817798 + ... + 1823378.

It is an arithmetic number, because the mean of its divisors is an integer number (241946208).

Almost surely, 210160701628 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 10160701628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613417984).

10160701628 is an abundant number, since it is smaller than the sum of its proper divisors (13066134340).

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

10160701628 is a wasteful number, since it uses less digits than its factorization.

10160701628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10160701628 in words is "ten billion, one hundred sixty million, seven hundred one thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 257 308 322 506 514 644 1012 1028 1771 1799 2827 3542 3598 5581 5654 5911 7084 7196 11162 11308 11822 19789 22324 23644 39067 39578 41377 61391 65021 78134 79156 82754 122782 128363 130042 156268 165508 245564 256726 260084 429737 455147 513452 859474 898541 910294 1411993 1434317 1718948 1797082 1820588 2823986 2868634 3594164 5647972 5737268 9883951 10040219 15777487 19767902 20080438 31554974 32989291 39535804 40160876 63109948 65978582 110442409 131957164 220884818 230925037 362882201 441769636 461850074 725764402 923700148 1451528804 2540175407 5080350814 10160701628