Search a number
-
+
4726150113100 = 22521364111534919
BaseRepresentation
bin100010011000110010001…
…1111111010011101001100
3121201211000112020111001111
41010301210133322131030
51104413123412104400
614015055143021404
7665311256062333
oct104614437723514
917654015214044
104726150113100
11156239258a289
12643b6213a864
1328389bb47580
14124a65652d1a
1582e10bb93ba
hex44c647fa74c

4726150113100 has 144 divisors (see below), whose sum is σ = 11073724361280. Its totient is φ = 1740452659200.

The previous prime is 4726150113073. The next prime is 4726150113101. The reversal of 4726150113100 is 13110516274.

It is a super-2 number, since 2×47261501131002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4726150113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960792441 + ... + 960797359.

It is an arithmetic number, because the mean of its divisors is an integer number (76900863620).

Almost surely, 24726150113100 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 4726150113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536862180640).

4726150113100 is an abundant number, since it is smaller than the sum of its proper divisors (6347574248180).

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

4726150113100 is a wasteful number, since it uses less digits than its factorization.

4726150113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 4726150113100 its reverse (13110516274), we get a palindrome (4739260629374).

The spelling of 4726150113100 in words is "four trillion, seven hundred twenty-six billion, one hundred fifty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 641 650 1153 1282 1300 2306 2564 3205 4612 4919 5765 6410 8333 9838 11530 12820 14989 16025 16666 19676 23060 24595 28825 29978 32050 33332 41665 49190 57650 59956 63947 64100 74945 83330 98380 115300 122975 127894 149890 166660 208325 245950 255788 299780 319735 374725 416650 491900 639470 739073 749450 833300 1278940 1478146 1498900 1598675 2956292 3153079 3197350 3695365 5671607 6306158 6394700 7390730 9607949 11343214 12612316 14781460 15765395 18476825 19215898 22686428 28358035 31530790 36953650 38431796 40990027 48039745 56716070 63061580 73730891 73907300 78826975 81980054 96079490 113432140 141790175 147461782 157653950 163960108 192158980 204950135 240198725 283580350 294923564 315307900 368654455 409900270 480397450 567160700 737308910 819800540 960794900 1024750675 1474617820 1843272275 2049501350 3635500087 3686544550 4099002700 7271000174 7373089100 14542000348 18177500435 36355000870 47261501131 72710001740 90887502175 94523002262 181775004350 189046004524 236307505655 363550008700 472615011310 945230022620 1181537528275 2363075056550 4726150113100