Search a number
-
+
46344310640 = 2451741831139
BaseRepresentation
bin101011001010010101…
…100000111101110000
311102121210222220120122
4223022111200331300
51224403120420030
633142411225412
73230312066165
oct531225407560
9142553886518
1046344310640
1118722178581
128b94748268
1344a7591a24
14235900606c
1513139828e5
hexaca560f70

46344310640 has 80 divisors (see below), whose sum is σ = 116871582240. Its totient is φ = 17021706240.

The previous prime is 46344310619. The next prime is 46344310651. The reversal of 46344310640 is 4601344364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 46344310640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359810 + ... + 471329.

It is an arithmetic number, because the mean of its divisors is an integer number (1460894778).

Almost surely, 246344310640 is an apocalyptic number.

46344310640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46344310640 is an abundant number, since it is smaller than the sum of its proper divisors (70527271600).

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

46344310640 is a wasteful number, since it uses less digits than its factorization.

46344310640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831210 (or 831204 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 46344310640 in words is "forty-six billion, three hundred forty-four million, three hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 41 68 80 82 85 136 164 170 205 272 328 340 410 656 680 697 820 1360 1394 1640 2788 3280 3485 5576 6970 11152 13940 27880 55760 831139 1662278 3324556 4155695 6649112 8311390 13298224 14129363 16622780 28258726 33245560 34076699 56517452 66491120 68153398 70646815 113034904 136306796 141293630 170383495 226069808 272613592 282587260 340766990 545227184 565174520 579303883 681533980 1130349040 1158607766 1363067960 2317215532 2726135920 2896519415 4634431064 5793038830 9268862128 11586077660 23172155320 46344310640