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31145552680 = 235111132392621
BaseRepresentation
bin11101000000011010…
…110110101100101000
32222101120212000020011
4131000122312230220
51002241230141210
622150313141304
72151546554404
oct350032665450
988346760204
1031145552680
1112232941790
1260526ba834
132c24804b18
141716644104
15c244abd8a
hex7406b6b28

31145552680 has 128 divisors (see below), whose sum is σ = 77476953600. Its totient is φ = 11174195200.

The previous prime is 31145552671. The next prime is 31145552681. The reversal of 31145552680 is 8625554113.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (31145552681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11881770 + ... + 11884390.

It is an arithmetic number, because the mean of its divisors is an integer number (605288700).

Almost surely, 231145552680 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 31145552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38738476800).

31145552680 is an abundant number, since it is smaller than the sum of its proper divisors (46331400920).

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

31145552680 is a wasteful number, since it uses less digits than its factorization.

31145552680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 31145552680 in words is "thirty-one billion, one hundred forty-five million, five hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 239 440 452 478 565 904 956 1130 1195 1243 1912 2260 2390 2486 2621 2629 4520 4780 4972 5242 5258 6215 9560 9944 10484 10516 12430 13105 13145 20968 21032 24860 26210 26290 27007 28831 49720 52420 52580 54014 57662 104840 105160 108028 115324 135035 144155 216056 230648 270070 288310 296173 297077 540140 576620 592346 594154 626419 1080280 1153240 1184692 1188308 1252838 1480865 1485385 2369384 2376616 2505676 2961730 2970770 3132095 3257903 5011352 5923460 5941540 6264190 6515806 6890609 11846920 11883080 12528380 13031612 13781218 16289515 25056760 26063224 27562436 32579030 34453045 55124872 65158060 68906090 70785347 130316120 137812180 141570694 275624360 283141388 353926735 566282776 707853470 778638817 1415706940 1557277634 2831413880 3114555268 3893194085 6229110536 7786388170 15572776340 31145552680