Search a number
-
+
1117519675896 = 2331343334324917
BaseRepresentation
bin10000010000110001010…
…111010000000111111000
310221211111212102111221210
4100100301113100013320
5121302140014112041
62213214221003120
7143511115341561
oct20206127200770
93854455374853
101117519675896
113a0a347a5888
121606bb0b34a0
13814c66524c0
143c1341c1168
151e108acb016
hex104315d01f8

1117519675896 has 128 divisors (see below), whose sum is σ = 3079721272320. Its totient is φ = 335741704704.

The previous prime is 1117519675861. The next prime is 1117519675933. The reversal of 1117519675896 is 6985769157111.

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, 44837230 + ... + 44862146.

It is an arithmetic number, because the mean of its divisors is an integer number (24060322440).

Almost surely, 21117519675896 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 1117519675896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539860636160).

1117519675896 is an abundant number, since it is smaller than the sum of its proper divisors (1962201596424).

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

1117519675896 is a wasteful number, since it uses less digits than its factorization.

1117519675896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28325 (or 28321 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 66.

The spelling of 1117519675896 in words is "one trillion, one hundred seventeen billion, five hundred nineteen million, six hundred seventy-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3343 3354 4472 6686 6708 10029 13372 13416 20058 24917 26744 40116 43459 49834 74751 80232 86918 99668 130377 143749 149502 173836 199336 260754 287498 299004 323921 347672 431247 521508 574996 598008 647842 862494 971763 1043016 1071431 1149992 1295684 1724988 1868737 1943526 2142862 2591368 3214293 3449976 3737474 3887052 4285724 5606211 6428586 7474948 7774104 8571448 11212422 12857172 13928603 14949896 22424844 25714344 27857206 41785809 44849688 55714412 83297531 83571618 111428824 166595062 167143236 249892593 333190124 334286472 499785186 666380248 999570372 1082867903 1999140744 2165735806 3248603709 3581793833 4331471612 6497207418 7163587666 8662943224 10745381499 12994414836 14327175332 21490762998 25988829672 28654350664 42981525996 46563319829 85963051992 93126639658 139689959487 186253279316 279379918974 372506558632 558759837948 1117519675896