Search a number
-
+
148377756555 = 3457163321091
BaseRepresentation
bin1000101000110000000…
…0001110001110001011
3112011222200221000020000
42022030000032032023
54412334201202210
6152055214134043
713501640056350
oct2121400161613
9464880830200
10148377756555
1157a21414696
122490b4b1323
1310cb84590b2
14727814a627
153cd6489ac0
hex228c00e38b

148377756555 has 80 divisors (see below), whose sum is σ = 305843983104. Its totient is φ = 67413487680.

The previous prime is 148377756551. The next prime is 148377756577. The reversal of 148377756555 is 555657773841.

148377756555 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 7 + 7 + 75 + 6 + 555 = 666.

It is not a de Polignac number, because 148377756555 - 22 = 148377756551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 148377756492 and 148377756501.

It is not an unprimeable number, because it can be changed into a prime (148377756551) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301560 + ... + 622650.

Almost surely, 2148377756555 is an apocalyptic number.

148377756555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148377756555 is an abundant number, since it is smaller than the sum of its proper divisors (157466226549).

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

148377756555 is a wasteful number, since it uses less digits than its factorization.

148377756555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321278 (or 321269 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 148377756555 in words is "one hundred forty-eight billion, three hundred seventy-seven million, seven hundred fifty-six thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 163 189 315 405 489 567 815 945 1141 1467 2445 2835 3423 4401 5705 7335 10269 13203 17115 22005 30807 51345 66015 92421 154035 321091 462105 963273 1605455 2247637 2889819 4816365 6742911 8669457 11238185 14449095 20228733 26008371 33714555 43347285 52337833 60686199 101143665 130041855 157013499 182058597 261689165 303430995 366364831 471040497 785067495 910292985 1099094493 1413121491 1831824155 2355202485 3297283479 4239364473 5495472465 7065607455 9891850437 16486417395 21196822365 29675551311 49459252185 148377756555