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53405422452 = 2232193712971627
BaseRepresentation
bin110001101111001101…
…100001001101110100
312002211220201120000100
4301233031201031310
51333333242004302
640311211314100
73600302413044
oct615715411564
9162756646010
1053405422452
1120715a72378
12a42544b930
1350614439b5
142828b0d724
1515c881dd1c
hexc6f361374

53405422452 has 144 divisors (see below), whose sum is σ = 146145039040. Its totient is φ = 16386333696.

The previous prime is 53405422403. The next prime is 53405422481. The reversal of 53405422452 is 25422450435.

53405422452 is a `hidden beast` number, since 5 + 3 + 40 + 542 + 24 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32823663 + ... + 32825289.

Almost surely, 253405422452 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 53405422452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73072519520).

53405422452 is an abundant number, since it is smaller than the sum of its proper divisors (92739616588).

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

53405422452 is a wasteful number, since it uses less digits than its factorization.

53405422452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 53405422452 its reverse (25422450435), we get a palindrome (78827872887).

The spelling of 53405422452 in words is "fifty-three billion, four hundred five million, four hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1297 1332 1406 1627 2109 2594 2812 3254 3891 4218 4881 5188 6327 6508 7782 8436 9762 11673 12654 14643 15564 19524 23346 24643 25308 29286 30913 46692 47989 49286 58572 60199 61826 73929 92739 95978 98572 120398 123652 143967 147858 180597 185478 191956 221787 240796 278217 287934 295716 361194 370956 431901 443574 541791 556434 575868 722388 863802 887148 911791 1083582 1112868 1143781 1727604 1823582 2110219 2167164 2287562 2735373 3431343 3647164 4220438 4575124 5470746 6330657 6862686 8206119 8440876 10294029 10941492 12661314 13725372 16412238 18991971 20588058 25322628 32824476 37983942 40094161 41176116 75967884 78078103 80188322 120282483 156156206 160376644 234234309 240564966 312312412 360847449 468468618 481129932 702702927 721694898 936937236 1405405854 1443389796 1483483957 2810811708 2966967914 4450451871 5933935828 8900903742 13351355613 17801807484 26702711226 53405422452