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46228142976 = 2731729324169
BaseRepresentation
bin101011000011011010…
…010111101110000000
311102022201101222111120
4223003122113232000
51224133401033401
633123101312240
73224401506021
oct530332275600
9142281358446
1046228142976
1118672644044
128b61865680
1344894aa272
142347806c48
151308687836
hexac3697b80

46228142976 has 128 divisors (see below), whose sum is σ = 130465792800. Its totient is φ = 14452850688.

The previous prime is 46228142941. The next prime is 46228142977. The reversal of 46228142976 is 67924182264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46228142977) by changing a digit.

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, 1900620 + ... + 1924788.

Almost surely, 246228142976 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 46228142976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65232896400).

46228142976 is an abundant number, since it is smaller than the sum of its proper divisors (84237649824).

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

46228142976 is a wasteful number, since it uses less digits than its factorization.

46228142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496 (or 24484 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 46228142976 in words is "forty-six billion, two hundred twenty-eight million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 293 384 408 544 586 816 879 1088 1172 1632 1758 2176 2344 3264 3516 4688 4981 6528 7032 9376 9962 14064 14943 18752 19924 24169 28128 29886 37504 39848 48338 56256 59772 72507 79696 96676 112512 119544 145014 159392 193352 239088 290028 318784 386704 410873 478176 580056 637568 773408 821746 956352 1160112 1232619 1546816 1643492 1912704 2320224 2465238 3093632 3286984 4640448 4930476 6573968 7081517 9280896 9860952 13147936 14163034 19721904 21244551 26295872 28326068 39443808 42489102 52591744 56652136 78887616 84978204 113304272 120385789 157775232 169956408 226608544 240771578 339912816 361157367 453217088 481543156 679825632 722314734 906434176 963086312 1359651264 1444629468 1926172624 2719302528 2889258936 3852345248 5778517872 7704690496 11557035744 15409380992 23114071488 46228142976