Search a number
-
+
10070410399992 = 23321311085398377
BaseRepresentation
bin1001001010001011001100…
…1111000001000011111000
31022122201111012211011122200
42102202303033001003320
52304443200030244432
633230141020150200
72056364105022345
oct222426317010370
938581435734580
1010070410399992
113232923154738
121167868098360
135808356160b7
1426b5a64557cc
15126e4b5bda7c
hex928b33c10f8

10070410399992 has 96 divisors (see below), whose sum is σ = 27485038460880. Its totient is φ = 3330838218240.

The previous prime is 10070410399991. The next prime is 10070410400027. The reversal of 10070410399992 is 29999301407001.

It is a happy number.

10070410399992 is a `hidden beast` number, since 100 + 7 + 0 + 410 + 39 + 9 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070410399991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102316308 + ... + 102414684.

Almost surely, 210070410399992 is an apocalyptic number.

10070410399992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10070410399992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13742519230440).

10070410399992 is an abundant number, since it is smaller than the sum of its proper divisors (17414628060888).

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

10070410399992 is a wasteful number, since it uses less digits than its factorization.

10070410399992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109373 (or 109366 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 10070410399992 in words is "ten trillion, seventy billion, four hundred ten million, three hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 10853 21706 32559 43412 65118 86824 97677 98377 130236 195354 196754 260472 295131 390708 393508 590262 781416 787016 885393 1180524 1421743 1770786 2361048 2843486 3541572 4265229 5686972 7083144 8530458 11373944 12795687 12887387 17060916 25591374 25774774 34121832 38662161 51182748 51549548 77324322 102365496 103099096 115986483 154648644 231972966 309297288 463945932 927891864 1067685581 2135371162 3203056743 4270742324 6406113486 8541484648 9609170229 12812226972 19218340458 25624453944 38436680916 76873361832 139866811111 279733622222 419600433333 559467244444 839200866666 1118934488888 1258801299999 1678401733332 2517602599998 3356803466664 5035205199996 10070410399992