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148515263640 = 23335991138763
BaseRepresentation
bin1000101001010000110…
…0110001010010011000
3112012100021200002111000
42022110030301102120
54413124401414030
6152121005305000
713505226624552
oct2122414612230
9465307602430
10148515263640
1157a91aa3807
1224949565160
131100aaa2833
14728c5024d2
153ce359c860
hex2294331498

148515263640 has 128 divisors (see below), whose sum is σ = 495553996800. Its totient is φ = 39563821440.

The previous prime is 148515263629. The next prime is 148515263647. The reversal of 148515263640 is 46362515841.

148515263640 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 1 + 5 + 2 + 636 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148515263647) 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, 1000899 + ... + 1139661.

It is an arithmetic number, because the mean of its divisors is an integer number (3871515600).

Almost surely, 2148515263640 is an apocalyptic number.

148515263640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148515263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247776998400).

148515263640 is an abundant number, since it is smaller than the sum of its proper divisors (347038733160).

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

148515263640 is a wasteful number, since it uses less digits than its factorization.

148515263640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139774 (or 139764 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 148515263640 in words is "one hundred forty-eight billion, five hundred fifteen million, two hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 991 1080 1982 2973 3964 4955 5946 7928 8919 9910 11892 14865 17838 19820 23784 26757 29730 35676 39640 44595 53514 59460 71352 89190 107028 118920 133785 138763 178380 214056 267570 277526 356760 416289 535140 555052 693815 832578 1070280 1110104 1248867 1387630 1665156 2081445 2497734 2775260 3330312 3746601 4162890 4995468 5550520 6244335 7493202 8325780 9990936 12488670 14986404 16651560 18733005 24977340 29972808 37466010 49954680 74932020 137514133 149864040 275028266 412542399 550056532 687570665 825084798 1100113064 1237627197 1375141330 1650169596 2062711995 2475254394 2750282660 3300339192 3712881591 4125423990 4950508788 5500565320 6188135985 7425763182 8250847980 9901017576 12376271970 14851526364 16501695960 18564407955 24752543940 29703052728 37128815910 49505087880 74257631820 148515263640