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405772422090 = 235773173153001
BaseRepresentation
bin1011110011110011110…
…10111100101111001010
31102210100222101210110120
411321321322330233022
523122010220001330
6510224223124110
741213263451640
oct5717172745712
91383328353416
10405772422090
111470a5a54572
1266784443636
132c358515409
14158d4a91190
15a84d57ac10
hex5e79ebcbca

405772422090 has 128 divisors (see below), whose sum is σ = 1134750961152. Its totient is φ = 90948096000.

The previous prime is 405772422071. The next prime is 405772422109. The reversal of 405772422090 is 90224277504.

It is an interprime number because it is at equal distance from previous prime (405772422071) and next prime (405772422109).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2575590 + ... + 2728590.

It is an arithmetic number, because the mean of its divisors is an integer number (8865241884).

Almost surely, 2405772422090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405772422090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567375480576).

405772422090 is an abundant number, since it is smaller than the sum of its proper divisors (728978539062).

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

405772422090 is a wasteful number, since it uses less digits than its factorization.

405772422090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153264.

The product of its (nonzero) digits is 282240, while the sum is 42.

Adding to 405772422090 its reverse (90224277504), we get a palindrome (495996699594).

The spelling of 405772422090 in words is "four hundred five billion, seven hundred seventy-two million, four hundred twenty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 173 210 219 346 365 438 511 519 730 865 1022 1038 1095 1211 1533 1730 2190 2422 2555 2595 3066 3633 5110 5190 6055 7266 7665 12110 12629 15330 18165 25258 36330 37887 63145 75774 88403 126290 153001 176806 189435 265209 306002 378870 442015 459003 530418 765005 884030 918006 1071007 1326045 1530010 2142014 2295015 2652090 3213021 4590030 5355035 6426042 10710070 11169073 16065105 22338146 26469173 32130210 33507219 52938346 55845365 67014438 78183511 79407519 111690730 132345865 156367022 158815038 167536095 185284211 234550533 264691730 335072190 370568422 390917555 397037595 469101066 555852633 781835110 794075190 926421055 1111705266 1172752665 1852842110 1932249629 2345505330 2779263165 3864499258 5558526330 5796748887 9661248145 11593497774 13525747403 19322496290 27051494806 28983744435 40577242209 57967488870 67628737015 81154484418 135257474030 202886211045 405772422090