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46028882004 = 2237791392359
BaseRepresentation
bin101010110111100010…
…010000000001010100
311101210211110110211120
4222313202100001110
51223231343211004
633051222403540
73216432020160
oct526742200124
9141724413746
1046028882004
1118580116356
128b06b905b0
134457121471
142329177ca0
1512e5e273d9
hexab7890054

46028882004 has 144 divisors (see below), whose sum is σ = 125546803200. Its totient is φ = 12855316032.

The previous prime is 46028881957. The next prime is 46028882047. The reversal of 46028882004 is 40028882064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128213977 + ... + 128214335.

It is an arithmetic number, because the mean of its divisors is an integer number (871852800).

Almost surely, 246028882004 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 46028882004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62773401600).

46028882004 is an abundant number, since it is smaller than the sum of its proper divisors (79517921196).

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

46028882004 is a wasteful number, since it uses less digits than its factorization.

46028882004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 46028882004 in words is "forty-six billion, twenty-eight million, eight hundred eighty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 139 158 237 278 316 359 417 474 553 556 718 834 948 973 1077 1106 1436 1659 1668 1946 2154 2212 2513 2919 3318 3892 4308 5026 5838 6636 7539 10052 10981 11676 15078 19321 21962 28361 30156 32943 38642 43924 49901 56722 57963 65886 76867 77284 85083 99802 113444 115926 131772 135247 149703 153734 170166 198527 199604 230601 231852 270494 299406 307468 340332 349307 397054 405741 461202 540988 595581 598812 698614 794108 811482 922404 1047921 1191162 1397228 1526359 1622964 2095842 2382324 3052718 3942179 4191684 4579077 6105436 6936239 7884358 9158154 10684513 11826537 13872478 15768716 18316308 20808717 21369026 23653074 27595253 27744956 32053539 41617434 42738052 47306148 48553673 55190506 64107078 82785759 83234868 97107346 110381012 128214156 145661019 165571518 194214692 291322038 331143036 547962881 582644076 1095925762 1643888643 2191851524 3287777286 3835740167 6575554572 7671480334 11507220501 15342960668 23014441002 46028882004