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46377022077364 = 22114384127291371
BaseRepresentation
bin10101000101101111111011…
…11011010011100110110100
320002012121012102000112001211
422202313331323103212310
522034320120122433424
6242345150530531204
712524425561246636
oct1242677573234664
9202177172015054
1046377022077364
1113860425a09510
125250216a36b04
131cb5446936564
14b64934888a56
1555658d19eb94
hex2a2dfded39b4

46377022077364 has 48 divisors (see below), whose sum is σ = 90598361204736. Its totient is φ = 20589905800800.

The previous prime is 46377022077361. The next prime is 46377022077367.

It is a happy number.

46377022077364 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46377022077361) and next prime (46377022077367).

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46377022077299 and 46377022077308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46377022077361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159022599 + ... + 159313969.

It is an arithmetic number, because the mean of its divisors is an integer number (1887465858432).

Almost surely, 246377022077364 is an apocalyptic number.

46377022077364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46377022077364 is a deficient number, since it is larger than the sum of its proper divisors (44221339127372).

46377022077364 is a wasteful number, since it uses less digits than its factorization.

46377022077364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375556 (or 375554 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 58.

The spelling of 46377022077364 in words is "forty-six trillion, three hundred seventy-seven billion, twenty-two million, seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 84127 168254 291371 336508 582742 925397 1165484 1850794 3205081 3617461 3701588 6410162 7234922 12528953 12820324 14469844 25057906 39792071 50115812 79584142 137818483 159168284 275636966 551273932 24512168117 49024336234 98048672468 269633849287 539267698574 1054023229031 1078535397148 2108046458062 4216092916124 11594255519341 23188511038682 46377022077364