Search a number
-
+
11611556440 = 23511231147387
BaseRepresentation
bin10101101000001101…
…00100101001011000
31002222020012011221221
422310012210221120
5142240024301230
65200111541424
7560513413141
oct126406445130
932866164857
1011611556440
114a1946a240
12230082a874
13113083b373
147c21c4ac8
1547e5e127a
hex2b41a4a58

11611556440 has 64 divisors (see below), whose sum is σ = 29740296960. Its totient is φ = 4038798720.

The previous prime is 11611556351. The next prime is 11611556443. The reversal of 11611556440 is 4465511611.

It is a junction number, because it is equal to n+sod(n) for n = 11611556396 and 11611556405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11611556443) 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, 563574 + ... + 583813.

It is an arithmetic number, because the mean of its divisors is an integer number (464692140).

Almost surely, 211611556440 is an apocalyptic number.

11611556440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11611556440 is an abundant number, since it is smaller than the sum of its proper divisors (18128740520).

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

11611556440 is a wasteful number, since it uses less digits than its factorization.

11611556440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147432 (or 1147428 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 11611556440 in words is "eleven billion, six hundred eleven million, five hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1147387 2294774 4589548 5736935 9179096 11473870 12621257 22947740 25242514 26389901 45895480 50485028 52779802 63106285 100970056 105559604 126212570 131949505 211119208 252425140 263899010 290288911 504850280 527798020 580577822 1055596040 1161155644 1451444555 2322311288 2902889110 5805778220 11611556440