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61132110160 = 245111719720743
BaseRepresentation
bin111000111011110000…
…011111100101010000
312211210101211221221011
4320323300133211100
52000144310011120
644030025140304
74262624235262
oct707360374520
9184711757834
1061132110160
1123a205341a0
12ba2102a694
1359c3171464
142d5cd8db32
1518cbd2cc5a
hexe3bc1f950

61132110160 has 160 divisors (see below), whose sum is σ = 165015366912. Its totient is φ = 20815011840.

The previous prime is 61132110131. The next prime is 61132110163. The reversal of 61132110160 is 6101123116.

It is a super-2 number, since 2×611321101602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61132110163) 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 31 ways as a sum of consecutive naturals, for example, 2936749 + ... + 2957491.

Almost surely, 261132110160 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 61132110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82507683456).

61132110160 is an abundant number, since it is smaller than the sum of its proper divisors (103883256752).

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

61132110160 is a wasteful number, since it uses less digits than its factorization.

61132110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20981 (or 20975 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 61132110160 its reverse (6101123116), we get a palindrome (67233233276).

The spelling of 61132110160 in words is "sixty-one billion, one hundred thirty-two million, one hundred ten thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 197 220 272 340 374 394 440 680 748 788 880 935 985 1360 1496 1576 1870 1970 2167 2992 3152 3349 3740 3940 4334 6698 7480 7880 8668 10835 13396 14960 15760 16745 17336 20743 21670 26792 33490 34672 36839 41486 43340 53584 66980 73678 82972 86680 103715 133960 147356 165944 173360 184195 207430 228173 267920 294712 331888 352631 368390 414860 456346 589424 705262 736780 829720 912692 1140865 1410524 1473560 1659440 1763155 1825384 2281730 2821048 2947120 3526310 3650768 3878941 4086371 4563460 5642096 7052620 7757882 8172742 9126920 14105240 15515764 16345484 18253840 19394705 20431855 28210480 31031528 32690968 38789410 40863710 44950081 62063056 65381936 69468307 77578820 81727420 89900162 138936614 155157640 163454840 179800324 224750405 277873228 310315280 326909680 347341535 359600648 449500810 555746456 694683070 719201296 764151377 899001620 1111492912 1389366140 1528302754 1798003240 2778732280 3056605508 3596006480 3820756885 5557464560 6113211016 7641513770 12226422032 15283027540 30566055080 61132110160