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148460034645 = 325132331734807
BaseRepresentation
bin1000101001000011101…
…0000101101001010101
3112012012102202011112200
42022100322011221111
54413021232102040
6152111313435113
713503656321226
oct2122072055125
9465172664480
10148460034645
1157a6390140a
1224932b6ba99
1310ccc506360
14728504724d
153cdd7dd630
hex2290e85a55

148460034645 has 96 divisors (see below), whose sum is σ = 290094884352. Its totient is φ = 69687737856.

The previous prime is 148460034643. The next prime is 148460034647. The reversal of 148460034645 is 546430064841.

148460034645 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 600 + 34 + 6 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (148460034643) and next prime (148460034647).

It is not a de Polignac number, because 148460034645 - 21 = 148460034643 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148460034645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148460034641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4247832 + ... + 4282638.

It is an arithmetic number, because the mean of its divisors is an integer number (3021821712).

Almost surely, 2148460034645 is an apocalyptic number.

148460034645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148460034645 is a deficient number, since it is larger than the sum of its proper divisors (141634849707).

148460034645 is a wasteful number, since it uses less digits than its factorization.

148460034645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35171 (or 35168 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 148460034645 in words is "one hundred forty-eight billion, four hundred sixty million, thirty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 317 345 585 897 951 1035 1495 1585 2691 2853 4121 4485 4755 7291 12363 13455 14265 20605 21873 34807 36455 37089 61815 65619 94783 104421 109365 174035 185445 284349 313263 328095 452491 473915 522105 800561 853047 1357473 1421745 1566315 2262455 2401683 4002805 4072419 4265235 6787365 7205049 10407293 11033819 12008415 20362095 31221879 33101457 36025245 52036465 55169095 93665637 99304371 143439647 156109395 165507285 253777837 430318941 468328185 496521855 717198235 761333511 1268889185 1290956823 2151594705 2284000533 3299111881 3806667555 6454784115 9897335643 11420002665 16495559405 29692006929 49486678215 148460034645